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Finding the Third Proportional to 22,386.38 and 49,078.41

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Solution

The third proportional to 22,386.38 and 49,078.41 is: 107,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,386.38 : 49,078.41 = 49,078.41 : x
  2. Step 2: Convert to fraction form
    22,386.38/49,078.41 = 49,078.41/x
  3. Step 3: Cross multiply
    22,386.38x = 49,078.41 × 49,078.41
  4. Step 4: Simplify right side
    22,386.38x = 2,408,689,960.04
  5. Step 5: Solve for x
    x = 2,408,689,960.04/22,386.38
  6. Step 6: Final answer
    x = 107,596.25

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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.