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Finding the Third Proportional to 25,649 and 40,579

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Solution

The third proportional to 25,649 and 40,579 is: 64,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649 : 40,579 = 40,579 : x
  2. Step 2: Convert to fraction form
    25,649/40,579 = 40,579/x
  3. Step 3: Cross multiply
    25,649x = 40,579 × 40,579
  4. Step 4: Simplify right side
    25,649x = 1,646,655,241
  5. Step 5: Solve for x
    x = 1,646,655,241/25,649
  6. Step 6: Final answer
    x = 64,199.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.