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Finding the Third Proportional to 22,339.69 and 48,323.81

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Solution

The third proportional to 22,339.69 and 48,323.81 is: 104,531.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.69 : 48,323.81 = 48,323.81 : x
  2. Step 2: Convert to fraction form
    22,339.69/48,323.81 = 48,323.81/x
  3. Step 3: Cross multiply
    22,339.69x = 48,323.81 × 48,323.81
  4. Step 4: Simplify right side
    22,339.69x = 2,335,190,854.54
  5. Step 5: Solve for x
    x = 2,335,190,854.54/22,339.69
  6. Step 6: Final answer
    x = 104,531.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.