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Finding the Third Proportional to 22,143.38 and 48,438.63

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Solution

The third proportional to 22,143.38 and 48,438.63 is: 105,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143.38 : 48,438.63 = 48,438.63 : x
  2. Step 2: Convert to fraction form
    22,143.38/48,438.63 = 48,438.63/x
  3. Step 3: Cross multiply
    22,143.38x = 48,438.63 × 48,438.63
  4. Step 4: Simplify right side
    22,143.38x = 2,346,301,148.74
  5. Step 5: Solve for x
    x = 2,346,301,148.74/22,143.38
  6. Step 6: Final answer
    x = 105,959.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.