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Finding the Third Proportional to 5,420.25 and 11,766.94

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Solution

The third proportional to 5,420.25 and 11,766.94 is: 25,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.25 : 11,766.94 = 11,766.94 : x
  2. Step 2: Convert to fraction form
    5,420.25/11,766.94 = 11,766.94/x
  3. Step 3: Cross multiply
    5,420.25x = 11,766.94 × 11,766.94
  4. Step 4: Simplify right side
    5,420.25x = 138,460,818.13
  5. Step 5: Solve for x
    x = 138,460,818.13/5,420.25
  6. Step 6: Final answer
    x = 25,545.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.