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Finding the Third Proportional to 7,407 and 16,087

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Solution

The third proportional to 7,407 and 16,087 is: 34,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407 : 16,087 = 16,087 : x
  2. Step 2: Convert to fraction form
    7,407/16,087 = 16,087/x
  3. Step 3: Cross multiply
    7,407x = 16,087 × 16,087
  4. Step 4: Simplify right side
    7,407x = 258,791,569
  5. Step 5: Solve for x
    x = 258,791,569/7,407
  6. Step 6: Final answer
    x = 34,938.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.