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Finding the Third Proportional to 10,801.13 and 15,884.44

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Solution

The third proportional to 10,801.13 and 15,884.44 is: 23,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.13 : 15,884.44 = 15,884.44 : x
  2. Step 2: Convert to fraction form
    10,801.13/15,884.44 = 15,884.44/x
  3. Step 3: Cross multiply
    10,801.13x = 15,884.44 × 15,884.44
  4. Step 4: Simplify right side
    10,801.13x = 252,315,354.69
  5. Step 5: Solve for x
    x = 252,315,354.69/10,801.13
  6. Step 6: Final answer
    x = 23,360.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.