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Finding the Third Proportional to 25,952 and 40,260

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Solution

The third proportional to 25,952 and 40,260 is: 62,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952 : 40,260 = 40,260 : x
  2. Step 2: Convert to fraction form
    25,952/40,260 = 40,260/x
  3. Step 3: Cross multiply
    25,952x = 40,260 × 40,260
  4. Step 4: Simplify right side
    25,952x = 1,620,867,600
  5. Step 5: Solve for x
    x = 1,620,867,600/25,952
  6. Step 6: Final answer
    x = 62,456.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.