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Finding the Third Proportional to 15,882.75 and 29,011.50

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Solution

The third proportional to 15,882.75 and 29,011.50 is: 52,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.75 : 29,011.50 = 29,011.50 : x
  2. Step 2: Convert to fraction form
    15,882.75/29,011.50 = 29,011.50/x
  3. Step 3: Cross multiply
    15,882.75x = 29,011.50 × 29,011.50
  4. Step 4: Simplify right side
    15,882.75x = 841,667,132.25
  5. Step 5: Solve for x
    x = 841,667,132.25/15,882.75
  6. Step 6: Final answer
    x = 52,992.53

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.