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Finding the Third Proportional to 12,641.63 and 27,470.25

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Solution

The third proportional to 12,641.63 and 27,470.25 is: 59,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.63 : 27,470.25 = 27,470.25 : x
  2. Step 2: Convert to fraction form
    12,641.63/27,470.25 = 27,470.25/x
  3. Step 3: Cross multiply
    12,641.63x = 27,470.25 × 27,470.25
  4. Step 4: Simplify right side
    12,641.63x = 754,614,635.06
  5. Step 5: Solve for x
    x = 754,614,635.06/12,641.63
  6. Step 6: Final answer
    x = 59,692.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.