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Finding the Third Proportional to 25,849.13 and 53,314.88

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Solution

The third proportional to 25,849.13 and 53,314.88 is: 109,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849.13 : 53,314.88 = 53,314.88 : x
  2. Step 2: Convert to fraction form
    25,849.13/53,314.88 = 53,314.88/x
  3. Step 3: Cross multiply
    25,849.13x = 53,314.88 × 53,314.88
  4. Step 4: Simplify right side
    25,849.13x = 2,842,475,896.27
  5. Step 5: Solve for x
    x = 2,842,475,896.27/25,849.13
  6. Step 6: Final answer
    x = 109,964.11

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.