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Finding the Third Proportional to 42,496 and 63,456

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Solution

The third proportional to 42,496 and 63,456 is: 94,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,496 : 63,456 = 63,456 : x
  2. Step 2: Convert to fraction form
    42,496/63,456 = 63,456/x
  3. Step 3: Cross multiply
    42,496x = 63,456 × 63,456
  4. Step 4: Simplify right side
    42,496x = 4,026,663,936
  5. Step 5: Solve for x
    x = 4,026,663,936/42,496
  6. Step 6: Final answer
    x = 94,753.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.