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Finding the Third Proportional to 15,730 and 34,084

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Solution

The third proportional to 15,730 and 34,084 is: 73,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730 : 34,084 = 34,084 : x
  2. Step 2: Convert to fraction form
    15,730/34,084 = 34,084/x
  3. Step 3: Cross multiply
    15,730x = 34,084 × 34,084
  4. Step 4: Simplify right side
    15,730x = 1,161,719,056
  5. Step 5: Solve for x
    x = 1,161,719,056/15,730
  6. Step 6: Final answer
    x = 73,853.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.