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Finding the Third Proportional to 14,159.97 and 34,752.80

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Solution

The third proportional to 14,159.97 and 34,752.80 is: 85,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.97 : 34,752.80 = 34,752.80 : x
  2. Step 2: Convert to fraction form
    14,159.97/34,752.80 = 34,752.80/x
  3. Step 3: Cross multiply
    14,159.97x = 34,752.80 × 34,752.80
  4. Step 4: Simplify right side
    14,159.97x = 1,207,756,890.64
  5. Step 5: Solve for x
    x = 1,207,756,890.64/14,159.97
  6. Step 6: Final answer
    x = 85,293.74

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.