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Finding the Third Proportional to 15,964 and 34,331

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Solution

The third proportional to 15,964 and 34,331 is: 73,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964 : 34,331 = 34,331 : x
  2. Step 2: Convert to fraction form
    15,964/34,331 = 34,331/x
  3. Step 3: Cross multiply
    15,964x = 34,331 × 34,331
  4. Step 4: Simplify right side
    15,964x = 1,178,617,561
  5. Step 5: Solve for x
    x = 1,178,617,561/15,964
  6. Step 6: Final answer
    x = 73,829.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.