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Finding the Third Proportional to 3,224.81 and 4,862.53

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Solution

The third proportional to 3,224.81 and 4,862.53 is: 7,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.81 : 4,862.53 = 4,862.53 : x
  2. Step 2: Convert to fraction form
    3,224.81/4,862.53 = 4,862.53/x
  3. Step 3: Cross multiply
    3,224.81x = 4,862.53 × 4,862.53
  4. Step 4: Simplify right side
    3,224.81x = 23,644,210.16
  5. Step 5: Solve for x
    x = 23,644,210.16/3,224.81
  6. Step 6: Final answer
    x = 7,331.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.