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Finding the Third Proportional to 30,539 and 48,579

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Solution

The third proportional to 30,539 and 48,579 is: 77,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539 : 48,579 = 48,579 : x
  2. Step 2: Convert to fraction form
    30,539/48,579 = 48,579/x
  3. Step 3: Cross multiply
    30,539x = 48,579 × 48,579
  4. Step 4: Simplify right side
    30,539x = 2,359,919,241
  5. Step 5: Solve for x
    x = 2,359,919,241/30,539
  6. Step 6: Final answer
    x = 77,275.59

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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.