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Finding the Third Proportional to 13,642.13 and 21,025.88

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Solution

The third proportional to 13,642.13 and 21,025.88 is: 32,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.13 : 21,025.88 = 21,025.88 : x
  2. Step 2: Convert to fraction form
    13,642.13/21,025.88 = 21,025.88/x
  3. Step 3: Cross multiply
    13,642.13x = 21,025.88 × 21,025.88
  4. Step 4: Simplify right side
    13,642.13x = 442,087,419.52
  5. Step 5: Solve for x
    x = 442,087,419.52/13,642.13
  6. Step 6: Final answer
    x = 32,406.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.