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Finding the Third Proportional to 29,352 and 63,456

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Solution

The third proportional to 29,352 and 63,456 is: 137,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,352 : 63,456 = 63,456 : x
  2. Step 2: Convert to fraction form
    29,352/63,456 = 63,456/x
  3. Step 3: Cross multiply
    29,352x = 63,456 × 63,456
  4. Step 4: Simplify right side
    29,352x = 4,026,663,936
  5. Step 5: Solve for x
    x = 4,026,663,936/29,352
  6. Step 6: Final answer
    x = 137,185.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.