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Finding the Third Proportional to 32,752 and 71,499

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Solution

The third proportional to 32,752 and 71,499 is: 156,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752 : 71,499 = 71,499 : x
  2. Step 2: Convert to fraction form
    32,752/71,499 = 71,499/x
  3. Step 3: Cross multiply
    32,752x = 71,499 × 71,499
  4. Step 4: Simplify right side
    32,752x = 5,112,107,001
  5. Step 5: Solve for x
    x = 5,112,107,001/32,752
  6. Step 6: Final answer
    x = 156,085.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.