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Finding the Third Proportional to 29,897 and 64,087

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Solution

The third proportional to 29,897 and 64,087 is: 137,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897 : 64,087 = 64,087 : x
  2. Step 2: Convert to fraction form
    29,897/64,087 = 64,087/x
  3. Step 3: Cross multiply
    29,897x = 64,087 × 64,087
  4. Step 4: Simplify right side
    29,897x = 4,107,143,569
  5. Step 5: Solve for x
    x = 4,107,143,569/29,897
  6. Step 6: Final answer
    x = 137,376.44

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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.