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Finding the Third Proportional to 3,461.25 and 5,368.13

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Solution

The third proportional to 3,461.25 and 5,368.13 is: 8,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.25 : 5,368.13 = 5,368.13 : x
  2. Step 2: Convert to fraction form
    3,461.25/5,368.13 = 5,368.13/x
  3. Step 3: Cross multiply
    3,461.25x = 5,368.13 × 5,368.13
  4. Step 4: Simplify right side
    3,461.25x = 28,816,766.02
  5. Step 5: Solve for x
    x = 28,816,766.02/3,461.25
  6. Step 6: Final answer
    x = 8,325.54

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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.