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Finding the Third Proportional to 22,677 and 48,048

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Solution

The third proportional to 22,677 and 48,048 is: 101,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677 : 48,048 = 48,048 : x
  2. Step 2: Convert to fraction form
    22,677/48,048 = 48,048/x
  3. Step 3: Cross multiply
    22,677x = 48,048 × 48,048
  4. Step 4: Simplify right side
    22,677x = 2,308,610,304
  5. Step 5: Solve for x
    x = 2,308,610,304/22,677
  6. Step 6: Final answer
    x = 101,804.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.