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Finding the Third Proportional to 35,508.38 and 74,302.31

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Solution

The third proportional to 35,508.38 and 74,302.31 is: 155,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,508.38 : 74,302.31 = 74,302.31 : x
  2. Step 2: Convert to fraction form
    35,508.38/74,302.31 = 74,302.31/x
  3. Step 3: Cross multiply
    35,508.38x = 74,302.31 × 74,302.31
  4. Step 4: Simplify right side
    35,508.38x = 5,520,833,642.85
  5. Step 5: Solve for x
    x = 5,520,833,642.85/35,508.38
  6. Step 6: Final answer
    x = 155,479.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.