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Finding the Third Proportional to 7,348 and 17,566

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Solution

The third proportional to 7,348 and 17,566 is: 41,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348 : 17,566 = 17,566 : x
  2. Step 2: Convert to fraction form
    7,348/17,566 = 17,566/x
  3. Step 3: Cross multiply
    7,348x = 17,566 × 17,566
  4. Step 4: Simplify right side
    7,348x = 308,564,356
  5. Step 5: Solve for x
    x = 308,564,356/7,348
  6. Step 6: Final answer
    x = 41,992.97

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.