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Finding the Third Proportional to 25,117.50 and 51,868.50

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Solution

The third proportional to 25,117.50 and 51,868.50 is: 107,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,117.50 : 51,868.50 = 51,868.50 : x
  2. Step 2: Convert to fraction form
    25,117.50/51,868.50 = 51,868.50/x
  3. Step 3: Cross multiply
    25,117.50x = 51,868.50 × 51,868.50
  4. Step 4: Simplify right side
    25,117.50x = 2,690,341,292.25
  5. Step 5: Solve for x
    x = 2,690,341,292.25/25,117.50
  6. Step 6: Final answer
    x = 107,110.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.