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Finding the Third Proportional to 13,023 and 27,987.61

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Solution

The third proportional to 13,023 and 27,987.61 is: 60,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023 : 27,987.61 = 27,987.61 : x
  2. Step 2: Convert to fraction form
    13,023/27,987.61 = 27,987.61/x
  3. Step 3: Cross multiply
    13,023x = 27,987.61 × 27,987.61
  4. Step 4: Simplify right side
    13,023x = 783,306,278.53
  5. Step 5: Solve for x
    x = 783,306,278.53/13,023
  6. Step 6: Final answer
    x = 60,147.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.