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Finding the Third Proportional to 32,026.50 and 47,211.75

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Solution

The third proportional to 32,026.50 and 47,211.75 is: 69,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026.50 : 47,211.75 = 47,211.75 : x
  2. Step 2: Convert to fraction form
    32,026.50/47,211.75 = 47,211.75/x
  3. Step 3: Cross multiply
    32,026.50x = 47,211.75 × 47,211.75
  4. Step 4: Simplify right side
    32,026.50x = 2,228,949,338.06
  5. Step 5: Solve for x
    x = 2,228,949,338.06/32,026.50
  6. Step 6: Final answer
    x = 69,597.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.