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Finding the Third Proportional to 18,209 and 24,471

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Solution

The third proportional to 18,209 and 24,471 is: 32,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209 : 24,471 = 24,471 : x
  2. Step 2: Convert to fraction form
    18,209/24,471 = 24,471/x
  3. Step 3: Cross multiply
    18,209x = 24,471 × 24,471
  4. Step 4: Simplify right side
    18,209x = 598,829,841
  5. Step 5: Solve for x
    x = 598,829,841/18,209
  6. Step 6: Final answer
    x = 32,886.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.