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Finding the Third Proportional to 25,940 and 40,530

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Solution

The third proportional to 25,940 and 40,530 is: 63,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,940 : 40,530 = 40,530 : x
  2. Step 2: Convert to fraction form
    25,940/40,530 = 40,530/x
  3. Step 3: Cross multiply
    25,940x = 40,530 × 40,530
  4. Step 4: Simplify right side
    25,940x = 1,642,680,900
  5. Step 5: Solve for x
    x = 1,642,680,900/25,940
  6. Step 6: Final answer
    x = 63,326.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.