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Finding the Third Proportional to 21,748 and 47,092

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Solution

The third proportional to 21,748 and 47,092 is: 101,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748 : 47,092 = 47,092 : x
  2. Step 2: Convert to fraction form
    21,748/47,092 = 47,092/x
  3. Step 3: Cross multiply
    21,748x = 47,092 × 47,092
  4. Step 4: Simplify right side
    21,748x = 2,217,656,464
  5. Step 5: Solve for x
    x = 2,217,656,464/21,748
  6. Step 6: Final answer
    x = 101,970.59

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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.