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Finding the Third Proportional to 23,248.25 and 50,359

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Solution

The third proportional to 23,248.25 and 50,359 is: 109,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,248.25 : 50,359 = 50,359 : x
  2. Step 2: Convert to fraction form
    23,248.25/50,359 = 50,359/x
  3. Step 3: Cross multiply
    23,248.25x = 50,359 × 50,359
  4. Step 4: Simplify right side
    23,248.25x = 2,536,028,881
  5. Step 5: Solve for x
    x = 2,536,028,881/23,248.25
  6. Step 6: Final answer
    x = 109,084.72

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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.