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Finding the Third Proportional to 3,652.64 and 7,988.72

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Solution

The third proportional to 3,652.64 and 7,988.72 is: 17,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.64 : 7,988.72 = 7,988.72 : x
  2. Step 2: Convert to fraction form
    3,652.64/7,988.72 = 7,988.72/x
  3. Step 3: Cross multiply
    3,652.64x = 7,988.72 × 7,988.72
  4. Step 4: Simplify right side
    3,652.64x = 63,819,627.27
  5. Step 5: Solve for x
    x = 63,819,627.27/3,652.64
  6. Step 6: Final answer
    x = 17,472.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.