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Finding the Third Proportional to 41,160 and 62,628

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Solution

The third proportional to 41,160 and 62,628 is: 95,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,160 : 62,628 = 62,628 : x
  2. Step 2: Convert to fraction form
    41,160/62,628 = 62,628/x
  3. Step 3: Cross multiply
    41,160x = 62,628 × 62,628
  4. Step 4: Simplify right side
    41,160x = 3,922,266,384
  5. Step 5: Solve for x
    x = 3,922,266,384/41,160
  6. Step 6: Final answer
    x = 95,293.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.