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Finding the Third Proportional to 15,282 and 22,454

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Solution

The third proportional to 15,282 and 22,454 is: 32,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282 : 22,454 = 22,454 : x
  2. Step 2: Convert to fraction form
    15,282/22,454 = 22,454/x
  3. Step 3: Cross multiply
    15,282x = 22,454 × 22,454
  4. Step 4: Simplify right side
    15,282x = 504,182,116
  5. Step 5: Solve for x
    x = 504,182,116/15,282
  6. Step 6: Final answer
    x = 32,991.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.