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Finding the Third Proportional to 48,760 and 72,820

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Solution

The third proportional to 48,760 and 72,820 is: 108,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,760 : 72,820 = 72,820 : x
  2. Step 2: Convert to fraction form
    48,760/72,820 = 72,820/x
  3. Step 3: Cross multiply
    48,760x = 72,820 × 72,820
  4. Step 4: Simplify right side
    48,760x = 5,302,752,400
  5. Step 5: Solve for x
    x = 5,302,752,400/48,760
  6. Step 6: Final answer
    x = 108,752.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.