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Finding the Third Proportional to 22,960.13 and 48,677.63

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Solution

The third proportional to 22,960.13 and 48,677.63 is: 103,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.13 : 48,677.63 = 48,677.63 : x
  2. Step 2: Convert to fraction form
    22,960.13/48,677.63 = 48,677.63/x
  3. Step 3: Cross multiply
    22,960.13x = 48,677.63 × 48,677.63
  4. Step 4: Simplify right side
    22,960.13x = 2,369,511,175.64
  5. Step 5: Solve for x
    x = 2,369,511,175.64/22,960.13
  6. Step 6: Final answer
    x = 103,201.14

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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.