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Finding the Third Proportional to 22,708.69 and 35,442.56

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Solution

The third proportional to 22,708.69 and 35,442.56 is: 55,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.69 : 35,442.56 = 35,442.56 : x
  2. Step 2: Convert to fraction form
    22,708.69/35,442.56 = 35,442.56/x
  3. Step 3: Cross multiply
    22,708.69x = 35,442.56 × 35,442.56
  4. Step 4: Simplify right side
    22,708.69x = 1,256,175,236.57
  5. Step 5: Solve for x
    x = 1,256,175,236.57/22,708.69
  6. Step 6: Final answer
    x = 55,316.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.