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Finding the Third Proportional to 15,924 and 34,038

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Solution

The third proportional to 15,924 and 34,038 is: 72,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924 : 34,038 = 34,038 : x
  2. Step 2: Convert to fraction form
    15,924/34,038 = 34,038/x
  3. Step 3: Cross multiply
    15,924x = 34,038 × 34,038
  4. Step 4: Simplify right side
    15,924x = 1,158,585,444
  5. Step 5: Solve for x
    x = 1,158,585,444/15,924
  6. Step 6: Final answer
    x = 72,757.19

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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.