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Finding the Third Proportional to 14,023.13 and 31,159.69

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Solution

The third proportional to 14,023.13 and 31,159.69 is: 69,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.13 : 31,159.69 = 31,159.69 : x
  2. Step 2: Convert to fraction form
    14,023.13/31,159.69 = 31,159.69/x
  3. Step 3: Cross multiply
    14,023.13x = 31,159.69 × 31,159.69
  4. Step 4: Simplify right side
    14,023.13x = 970,926,125.10
  5. Step 5: Solve for x
    x = 970,926,125.10/14,023.13
  6. Step 6: Final answer
    x = 69,237.50

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.