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Finding the Third Proportional to 32,841.75 and 52,071.75

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Solution

The third proportional to 32,841.75 and 52,071.75 is: 82,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.75 : 52,071.75 = 52,071.75 : x
  2. Step 2: Convert to fraction form
    32,841.75/52,071.75 = 52,071.75/x
  3. Step 3: Cross multiply
    32,841.75x = 52,071.75 × 52,071.75
  4. Step 4: Simplify right side
    32,841.75x = 2,711,467,148.06
  5. Step 5: Solve for x
    x = 2,711,467,148.06/32,841.75
  6. Step 6: Final answer
    x = 82,561.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.