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Finding the Third Proportional to 33,439.50 and 74,260.13

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Solution

The third proportional to 33,439.50 and 74,260.13 is: 164,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,439.50 : 74,260.13 = 74,260.13 : x
  2. Step 2: Convert to fraction form
    33,439.50/74,260.13 = 74,260.13/x
  3. Step 3: Cross multiply
    33,439.50x = 74,260.13 × 74,260.13
  4. Step 4: Simplify right side
    33,439.50x = 5,514,566,165.02
  5. Step 5: Solve for x
    x = 5,514,566,165.02/33,439.50
  6. Step 6: Final answer
    x = 164,911.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.