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Finding the Third Proportional to 32,370 and 43,727

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Solution

The third proportional to 32,370 and 43,727 is: 59,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,370 : 43,727 = 43,727 : x
  2. Step 2: Convert to fraction form
    32,370/43,727 = 43,727/x
  3. Step 3: Cross multiply
    32,370x = 43,727 × 43,727
  4. Step 4: Simplify right side
    32,370x = 1,912,050,529
  5. Step 5: Solve for x
    x = 1,912,050,529/32,370
  6. Step 6: Final answer
    x = 59,068.60

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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.