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Finding the Third Proportional to 29,567 and 63,509

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Solution

The third proportional to 29,567 and 63,509 is: 136,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567 : 63,509 = 63,509 : x
  2. Step 2: Convert to fraction form
    29,567/63,509 = 63,509/x
  3. Step 3: Cross multiply
    29,567x = 63,509 × 63,509
  4. Step 4: Simplify right side
    29,567x = 4,033,393,081
  5. Step 5: Solve for x
    x = 4,033,393,081/29,567
  6. Step 6: Final answer
    x = 136,415.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.