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Finding the Third Proportional to 22,930.88 and 35,442

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Solution

The third proportional to 22,930.88 and 35,442 is: 54,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.88 : 35,442 = 35,442 : x
  2. Step 2: Convert to fraction form
    22,930.88/35,442 = 35,442/x
  3. Step 3: Cross multiply
    22,930.88x = 35,442 × 35,442
  4. Step 4: Simplify right side
    22,930.88x = 1,256,135,364
  5. Step 5: Solve for x
    x = 1,256,135,364/22,930.88
  6. Step 6: Final answer
    x = 54,779.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.