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Finding the Third Proportional to 36,352 and 74,040

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Solution

The third proportional to 36,352 and 74,040 is: 150,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,352 : 74,040 = 74,040 : x
  2. Step 2: Convert to fraction form
    36,352/74,040 = 74,040/x
  3. Step 3: Cross multiply
    36,352x = 74,040 × 74,040
  4. Step 4: Simplify right side
    36,352x = 5,481,921,600
  5. Step 5: Solve for x
    x = 5,481,921,600/36,352
  6. Step 6: Final answer
    x = 150,801.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.