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Finding the Third Proportional to 25,059.38 and 51,707.74

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Solution

The third proportional to 25,059.38 and 51,707.74 is: 106,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,059.38 : 51,707.74 = 51,707.74 : x
  2. Step 2: Convert to fraction form
    25,059.38/51,707.74 = 51,707.74/x
  3. Step 3: Cross multiply
    25,059.38x = 51,707.74 × 51,707.74
  4. Step 4: Simplify right side
    25,059.38x = 2,673,690,602.13
  5. Step 5: Solve for x
    x = 2,673,690,602.13/25,059.38
  6. Step 6: Final answer
    x = 106,694.23

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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.