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Finding the Third Proportional to 7,042 and 15,479

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Solution

The third proportional to 7,042 and 15,479 is: 34,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042 : 15,479 = 15,479 : x
  2. Step 2: Convert to fraction form
    7,042/15,479 = 15,479/x
  3. Step 3: Cross multiply
    7,042x = 15,479 × 15,479
  4. Step 4: Simplify right side
    7,042x = 239,599,441
  5. Step 5: Solve for x
    x = 239,599,441/7,042
  6. Step 6: Final answer
    x = 34,024.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.