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Finding the Third Proportional to 22,473 and 47,259

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Solution

The third proportional to 22,473 and 47,259 is: 99,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473 : 47,259 = 47,259 : x
  2. Step 2: Convert to fraction form
    22,473/47,259 = 47,259/x
  3. Step 3: Cross multiply
    22,473x = 47,259 × 47,259
  4. Step 4: Simplify right side
    22,473x = 2,233,413,081
  5. Step 5: Solve for x
    x = 2,233,413,081/22,473
  6. Step 6: Final answer
    x = 99,382.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.