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Finding the Third Proportional to 30,582 and 48,657

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Solution

The third proportional to 30,582 and 48,657 is: 77,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582 : 48,657 = 48,657 : x
  2. Step 2: Convert to fraction form
    30,582/48,657 = 48,657/x
  3. Step 3: Cross multiply
    30,582x = 48,657 × 48,657
  4. Step 4: Simplify right side
    30,582x = 2,367,503,649
  5. Step 5: Solve for x
    x = 2,367,503,649/30,582
  6. Step 6: Final answer
    x = 77,414.94

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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.