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Finding the Third Proportional to 29,464 and 64,672

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Solution

The third proportional to 29,464 and 64,672 is: 141,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464 : 64,672 = 64,672 : x
  2. Step 2: Convert to fraction form
    29,464/64,672 = 64,672/x
  3. Step 3: Cross multiply
    29,464x = 64,672 × 64,672
  4. Step 4: Simplify right side
    29,464x = 4,182,467,584
  5. Step 5: Solve for x
    x = 4,182,467,584/29,464
  6. Step 6: Final answer
    x = 141,951.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.