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Finding the Third Proportional to 28,549 and 40,579

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Solution

The third proportional to 28,549 and 40,579 is: 57,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,549 : 40,579 = 40,579 : x
  2. Step 2: Convert to fraction form
    28,549/40,579 = 40,579/x
  3. Step 3: Cross multiply
    28,549x = 40,579 × 40,579
  4. Step 4: Simplify right side
    28,549x = 1,646,655,241
  5. Step 5: Solve for x
    x = 1,646,655,241/28,549
  6. Step 6: Final answer
    x = 57,678.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.