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Finding the Third Proportional to 14,619.75 and 22,291.13

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Solution

The third proportional to 14,619.75 and 22,291.13 is: 33,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619.75 : 22,291.13 = 22,291.13 : x
  2. Step 2: Convert to fraction form
    14,619.75/22,291.13 = 22,291.13/x
  3. Step 3: Cross multiply
    14,619.75x = 22,291.13 × 22,291.13
  4. Step 4: Simplify right side
    14,619.75x = 496,894,253.77
  5. Step 5: Solve for x
    x = 496,894,253.77/14,619.75
  6. Step 6: Final answer
    x = 33,987.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.