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Finding the Third Proportional to 25,849.13 and 53,358.75

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Solution

The third proportional to 25,849.13 and 53,358.75 is: 110,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849.13 : 53,358.75 = 53,358.75 : x
  2. Step 2: Convert to fraction form
    25,849.13/53,358.75 = 53,358.75/x
  3. Step 3: Cross multiply
    25,849.13x = 53,358.75 × 53,358.75
  4. Step 4: Simplify right side
    25,849.13x = 2,847,156,201.56
  5. Step 5: Solve for x
    x = 2,847,156,201.56/25,849.13
  6. Step 6: Final answer
    x = 110,145.17

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Why These Related Problems?

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