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Finding the Third Proportional to 3,748.75 and 5,340.13

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Solution

The third proportional to 3,748.75 and 5,340.13 is: 7,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.75 : 5,340.13 = 5,340.13 : x
  2. Step 2: Convert to fraction form
    3,748.75/5,340.13 = 5,340.13/x
  3. Step 3: Cross multiply
    3,748.75x = 5,340.13 × 5,340.13
  4. Step 4: Simplify right side
    3,748.75x = 28,516,935.02
  5. Step 5: Solve for x
    x = 28,516,935.02/3,748.75
  6. Step 6: Final answer
    x = 7,607.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.