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Finding the Third Proportional to 5,599.13 and 12,985.31

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Solution

The third proportional to 5,599.13 and 12,985.31 is: 30,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.13 : 12,985.31 = 12,985.31 : x
  2. Step 2: Convert to fraction form
    5,599.13/12,985.31 = 12,985.31/x
  3. Step 3: Cross multiply
    5,599.13x = 12,985.31 × 12,985.31
  4. Step 4: Simplify right side
    5,599.13x = 168,618,340.72
  5. Step 5: Solve for x
    x = 168,618,340.72/5,599.13
  6. Step 6: Final answer
    x = 30,115.12

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.