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Finding the Third Proportional to 36,000.07 and 74,298.20

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Solution

The third proportional to 36,000.07 and 74,298.20 is: 153,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000.07 : 74,298.20 = 74,298.20 : x
  2. Step 2: Convert to fraction form
    36,000.07/74,298.20 = 74,298.20/x
  3. Step 3: Cross multiply
    36,000.07x = 74,298.20 × 74,298.20
  4. Step 4: Simplify right side
    36,000.07x = 5,520,222,407.15
  5. Step 5: Solve for x
    x = 5,520,222,407.15/36,000.07
  6. Step 6: Final answer
    x = 153,339.21

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.