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Finding the Third Proportional to 22,429.88 and 48,575.63

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Solution

The third proportional to 22,429.88 and 48,575.63 is: 105,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.88 : 48,575.63 = 48,575.63 : x
  2. Step 2: Convert to fraction form
    22,429.88/48,575.63 = 48,575.63/x
  3. Step 3: Cross multiply
    22,429.88x = 48,575.63 × 48,575.63
  4. Step 4: Simplify right side
    22,429.88x = 2,359,591,344.14
  5. Step 5: Solve for x
    x = 2,359,591,344.14/22,429.88
  6. Step 6: Final answer
    x = 105,198.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.