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Finding the Third Proportional to 32,372 and 43,730

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Solution

The third proportional to 32,372 and 43,730 is: 59,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372 : 43,730 = 43,730 : x
  2. Step 2: Convert to fraction form
    32,372/43,730 = 43,730/x
  3. Step 3: Cross multiply
    32,372x = 43,730 × 43,730
  4. Step 4: Simplify right side
    32,372x = 1,912,312,900
  5. Step 5: Solve for x
    x = 1,912,312,900/32,372
  6. Step 6: Final answer
    x = 59,073.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.