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Finding the Third Proportional to 29,430 and 63,567

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Solution

The third proportional to 29,430 and 63,567 is: 137,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,430 : 63,567 = 63,567 : x
  2. Step 2: Convert to fraction form
    29,430/63,567 = 63,567/x
  3. Step 3: Cross multiply
    29,430x = 63,567 × 63,567
  4. Step 4: Simplify right side
    29,430x = 4,040,763,489
  5. Step 5: Solve for x
    x = 4,040,763,489/29,430
  6. Step 6: Final answer
    x = 137,300.83

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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.