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Finding the Third Proportional to 32,708.50 and 72,818

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Solution

The third proportional to 32,708.50 and 72,818 is: 162,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708.50 : 72,818 = 72,818 : x
  2. Step 2: Convert to fraction form
    32,708.50/72,818 = 72,818/x
  3. Step 3: Cross multiply
    32,708.50x = 72,818 × 72,818
  4. Step 4: Simplify right side
    32,708.50x = 5,302,461,124
  5. Step 5: Solve for x
    x = 5,302,461,124/32,708.50
  6. Step 6: Final answer
    x = 162,112.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.