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Finding the Third Proportional to 12,043.13 and 17,116.88

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Solution

The third proportional to 12,043.13 and 17,116.88 is: 24,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.13 : 17,116.88 = 17,116.88 : x
  2. Step 2: Convert to fraction form
    12,043.13/17,116.88 = 17,116.88/x
  3. Step 3: Cross multiply
    12,043.13x = 17,116.88 × 17,116.88
  4. Step 4: Simplify right side
    12,043.13x = 292,987,409.77
  5. Step 5: Solve for x
    x = 292,987,409.77/12,043.13
  6. Step 6: Final answer
    x = 24,328.19

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.