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Finding the Third Proportional to 14,581.69 and 31,957.88

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Solution

The third proportional to 14,581.69 and 31,957.88 is: 70,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581.69 : 31,957.88 = 31,957.88 : x
  2. Step 2: Convert to fraction form
    14,581.69/31,957.88 = 31,957.88/x
  3. Step 3: Cross multiply
    14,581.69x = 31,957.88 × 31,957.88
  4. Step 4: Simplify right side
    14,581.69x = 1,021,305,774.52
  5. Step 5: Solve for x
    x = 1,021,305,774.52/14,581.69
  6. Step 6: Final answer
    x = 70,040.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.