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Finding the Third Proportional to 4,171.10 and 4,728.53

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Solution

The third proportional to 4,171.10 and 4,728.53 is: 5,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.10 : 4,728.53 = 4,728.53 : x
  2. Step 2: Convert to fraction form
    4,171.10/4,728.53 = 4,728.53/x
  3. Step 3: Cross multiply
    4,171.10x = 4,728.53 × 4,728.53
  4. Step 4: Simplify right side
    4,171.10x = 22,359,026.25
  5. Step 5: Solve for x
    x = 22,359,026.25/4,171.10
  6. Step 6: Final answer
    x = 5,360.46

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.