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Finding the Third Proportional to 25,762 and 40,947

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Solution

The third proportional to 25,762 and 40,947 is: 65,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762 : 40,947 = 40,947 : x
  2. Step 2: Convert to fraction form
    25,762/40,947 = 40,947/x
  3. Step 3: Cross multiply
    25,762x = 40,947 × 40,947
  4. Step 4: Simplify right side
    25,762x = 1,676,656,809
  5. Step 5: Solve for x
    x = 1,676,656,809/25,762
  6. Step 6: Final answer
    x = 65,082.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.