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Finding the Third Proportional to 22,948.88 and 48,655.13

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Solution

The third proportional to 22,948.88 and 48,655.13 is: 103,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.88 : 48,655.13 = 48,655.13 : x
  2. Step 2: Convert to fraction form
    22,948.88/48,655.13 = 48,655.13/x
  3. Step 3: Cross multiply
    22,948.88x = 48,655.13 × 48,655.13
  4. Step 4: Simplify right side
    22,948.88x = 2,367,321,188.77
  5. Step 5: Solve for x
    x = 2,367,321,188.77/22,948.88
  6. Step 6: Final answer
    x = 103,156.31

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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.