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Finding the Third Proportional to 8,672.63 and 12,394.13

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Solution

The third proportional to 8,672.63 and 12,394.13 is: 17,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.63 : 12,394.13 = 12,394.13 : x
  2. Step 2: Convert to fraction form
    8,672.63/12,394.13 = 12,394.13/x
  3. Step 3: Cross multiply
    8,672.63x = 12,394.13 × 12,394.13
  4. Step 4: Simplify right side
    8,672.63x = 153,614,334.52
  5. Step 5: Solve for x
    x = 153,614,334.52/8,672.63
  6. Step 6: Final answer
    x = 17,712.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.