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Finding the Third Proportional to 32,712 and 71,752

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Solution

The third proportional to 32,712 and 71,752 is: 157,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712 : 71,752 = 71,752 : x
  2. Step 2: Convert to fraction form
    32,712/71,752 = 71,752/x
  3. Step 3: Cross multiply
    32,712x = 71,752 × 71,752
  4. Step 4: Simplify right side
    32,712x = 5,148,349,504
  5. Step 5: Solve for x
    x = 5,148,349,504/32,712
  6. Step 6: Final answer
    x = 157,384.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.