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Finding the Third Proportional to 3,655.50 and 8,005.13

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Solution

The third proportional to 3,655.50 and 8,005.13 is: 17,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.50 : 8,005.13 = 8,005.13 : x
  2. Step 2: Convert to fraction form
    3,655.50/8,005.13 = 8,005.13/x
  3. Step 3: Cross multiply
    3,655.50x = 8,005.13 × 8,005.13
  4. Step 4: Simplify right side
    3,655.50x = 64,082,026.27
  5. Step 5: Solve for x
    x = 64,082,026.27/3,655.50
  6. Step 6: Final answer
    x = 17,530.30

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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.