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Finding the Third Proportional to 41,386.50 and 63,414

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Solution

The third proportional to 41,386.50 and 63,414 is: 97,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,386.50 : 63,414 = 63,414 : x
  2. Step 2: Convert to fraction form
    41,386.50/63,414 = 63,414/x
  3. Step 3: Cross multiply
    41,386.50x = 63,414 × 63,414
  4. Step 4: Simplify right side
    41,386.50x = 4,021,335,396
  5. Step 5: Solve for x
    x = 4,021,335,396/41,386.50
  6. Step 6: Final answer
    x = 97,165.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.