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Finding the Third Proportional to 15,592.75 and 34,007

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Solution

The third proportional to 15,592.75 and 34,007 is: 74,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,592.75 : 34,007 = 34,007 : x
  2. Step 2: Convert to fraction form
    15,592.75/34,007 = 34,007/x
  3. Step 3: Cross multiply
    15,592.75x = 34,007 × 34,007
  4. Step 4: Simplify right side
    15,592.75x = 1,156,476,049
  5. Step 5: Solve for x
    x = 1,156,476,049/15,592.75
  6. Step 6: Final answer
    x = 74,167.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.