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Finding the Third Proportional to 3,740.63 and 8,074.13

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Solution

The third proportional to 3,740.63 and 8,074.13 is: 17,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.63 : 8,074.13 = 8,074.13 : x
  2. Step 2: Convert to fraction form
    3,740.63/8,074.13 = 8,074.13/x
  3. Step 3: Cross multiply
    3,740.63x = 8,074.13 × 8,074.13
  4. Step 4: Simplify right side
    3,740.63x = 65,191,494.52
  5. Step 5: Solve for x
    x = 65,191,494.52/3,740.63
  6. Step 6: Final answer
    x = 17,427.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.