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Finding the Third Proportional to 15,706 and 36,331

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Solution

The third proportional to 15,706 and 36,331 is: 84,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706 : 36,331 = 36,331 : x
  2. Step 2: Convert to fraction form
    15,706/36,331 = 36,331/x
  3. Step 3: Cross multiply
    15,706x = 36,331 × 36,331
  4. Step 4: Simplify right side
    15,706x = 1,319,941,561
  5. Step 5: Solve for x
    x = 1,319,941,561/15,706
  6. Step 6: Final answer
    x = 84,040.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.