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Finding the Third Proportional to 10,038 and 15,759

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Solution

The third proportional to 10,038 and 15,759 is: 24,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038 : 15,759 = 15,759 : x
  2. Step 2: Convert to fraction form
    10,038/15,759 = 15,759/x
  3. Step 3: Cross multiply
    10,038x = 15,759 × 15,759
  4. Step 4: Simplify right side
    10,038x = 248,346,081
  5. Step 5: Solve for x
    x = 248,346,081/10,038
  6. Step 6: Final answer
    x = 24,740.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.