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Finding the Third Proportional to 25,571 and 40,706

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Solution

The third proportional to 25,571 and 40,706 is: 64,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571 : 40,706 = 40,706 : x
  2. Step 2: Convert to fraction form
    25,571/40,706 = 40,706/x
  3. Step 3: Cross multiply
    25,571x = 40,706 × 40,706
  4. Step 4: Simplify right side
    25,571x = 1,656,978,436
  5. Step 5: Solve for x
    x = 1,656,978,436/25,571
  6. Step 6: Final answer
    x = 64,799.13

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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.