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Finding the Third Proportional to 5,702 and 8,893

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Solution

The third proportional to 5,702 and 8,893 is: 13,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 8,893 = 8,893 : x
  2. Step 2: Convert to fraction form
    5,702/8,893 = 8,893/x
  3. Step 3: Cross multiply
    5,702x = 8,893 × 8,893
  4. Step 4: Simplify right side
    5,702x = 79,085,449
  5. Step 5: Solve for x
    x = 79,085,449/5,702
  6. Step 6: Final answer
    x = 13,869.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.