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Finding the Third Proportional to 29,670 and 63,552

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Solution

The third proportional to 29,670 and 63,552 is: 136,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670 : 63,552 = 63,552 : x
  2. Step 2: Convert to fraction form
    29,670/63,552 = 63,552/x
  3. Step 3: Cross multiply
    29,670x = 63,552 × 63,552
  4. Step 4: Simplify right side
    29,670x = 4,038,856,704
  5. Step 5: Solve for x
    x = 4,038,856,704/29,670
  6. Step 6: Final answer
    x = 136,125.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.