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Finding the Third Proportional to 22,239 and 48,851.63

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Solution

The third proportional to 22,239 and 48,851.63 is: 107,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,239 : 48,851.63 = 48,851.63 : x
  2. Step 2: Convert to fraction form
    22,239/48,851.63 = 48,851.63/x
  3. Step 3: Cross multiply
    22,239x = 48,851.63 × 48,851.63
  4. Step 4: Simplify right side
    22,239x = 2,386,481,265.14
  5. Step 5: Solve for x
    x = 2,386,481,265.14/22,239
  6. Step 6: Final answer
    x = 107,310.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.