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Finding the Third Proportional to 25,700.25 and 40,325.25

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Solution

The third proportional to 25,700.25 and 40,325.25 is: 63,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.25 : 40,325.25 = 40,325.25 : x
  2. Step 2: Convert to fraction form
    25,700.25/40,325.25 = 40,325.25/x
  3. Step 3: Cross multiply
    25,700.25x = 40,325.25 × 40,325.25
  4. Step 4: Simplify right side
    25,700.25x = 1,626,125,787.56
  5. Step 5: Solve for x
    x = 1,626,125,787.56/25,700.25
  6. Step 6: Final answer
    x = 63,272.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.