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Finding the Third Proportional to 8,830.13 and 12,375.42

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Solution

The third proportional to 8,830.13 and 12,375.42 is: 17,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.13 : 12,375.42 = 12,375.42 : x
  2. Step 2: Convert to fraction form
    8,830.13/12,375.42 = 12,375.42/x
  3. Step 3: Cross multiply
    8,830.13x = 12,375.42 × 12,375.42
  4. Step 4: Simplify right side
    8,830.13x = 153,151,066.58
  5. Step 5: Solve for x
    x = 153,151,066.58/8,830.13
  6. Step 6: Final answer
    x = 17,344.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.