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Finding the Third Proportional to 25,921.75 and 36,710.25

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Solution

The third proportional to 25,921.75 and 36,710.25 is: 51,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921.75 : 36,710.25 = 36,710.25 : x
  2. Step 2: Convert to fraction form
    25,921.75/36,710.25 = 36,710.25/x
  3. Step 3: Cross multiply
    25,921.75x = 36,710.25 × 36,710.25
  4. Step 4: Simplify right side
    25,921.75x = 1,347,642,455.06
  5. Step 5: Solve for x
    x = 1,347,642,455.06/25,921.75
  6. Step 6: Final answer
    x = 51,988.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.