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Finding the Third Proportional to 3,767.34 and 7,637.20

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Solution

The third proportional to 3,767.34 and 7,637.20 is: 15,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.34 : 7,637.20 = 7,637.20 : x
  2. Step 2: Convert to fraction form
    3,767.34/7,637.20 = 7,637.20/x
  3. Step 3: Cross multiply
    3,767.34x = 7,637.20 × 7,637.20
  4. Step 4: Simplify right side
    3,767.34x = 58,326,871.57
  5. Step 5: Solve for x
    x = 58,326,871.57/3,767.34
  6. Step 6: Final answer
    x = 15,482.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.