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Finding the Third Proportional to 22,747.50 and 29,011.50

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Solution

The third proportional to 22,747.50 and 29,011.50 is: 37,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747.50 : 29,011.50 = 29,011.50 : x
  2. Step 2: Convert to fraction form
    22,747.50/29,011.50 = 29,011.50/x
  3. Step 3: Cross multiply
    22,747.50x = 29,011.50 × 29,011.50
  4. Step 4: Simplify right side
    22,747.50x = 841,667,132.25
  5. Step 5: Solve for x
    x = 841,667,132.25/22,747.50
  6. Step 6: Final answer
    x = 37,000.42

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.