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Finding the Third Proportional to 3,753.28 and 5,812.03

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Solution

The third proportional to 3,753.28 and 5,812.03 is: 9,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.28 : 5,812.03 = 5,812.03 : x
  2. Step 2: Convert to fraction form
    3,753.28/5,812.03 = 5,812.03/x
  3. Step 3: Cross multiply
    3,753.28x = 5,812.03 × 5,812.03
  4. Step 4: Simplify right side
    3,753.28x = 33,779,707.25
  5. Step 5: Solve for x
    x = 33,779,707.25/3,753.28
  6. Step 6: Final answer
    x = 9,000.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.