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Finding the Third Proportional to 25,139.75 and 49,645

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Solution

The third proportional to 25,139.75 and 49,645 is: 98,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,139.75 : 49,645 = 49,645 : x
  2. Step 2: Convert to fraction form
    25,139.75/49,645 = 49,645/x
  3. Step 3: Cross multiply
    25,139.75x = 49,645 × 49,645
  4. Step 4: Simplify right side
    25,139.75x = 2,464,626,025
  5. Step 5: Solve for x
    x = 2,464,626,025/25,139.75
  6. Step 6: Final answer
    x = 98,037.01

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.