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Finding the Third Proportional to 5,542.59 and 12,818.04

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Solution

The third proportional to 5,542.59 and 12,818.04 is: 29,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.59 : 12,818.04 = 12,818.04 : x
  2. Step 2: Convert to fraction form
    5,542.59/12,818.04 = 12,818.04/x
  3. Step 3: Cross multiply
    5,542.59x = 12,818.04 × 12,818.04
  4. Step 4: Simplify right side
    5,542.59x = 164,302,125.41
  5. Step 5: Solve for x
    x = 164,302,125.41/5,542.59
  6. Step 6: Final answer
    x = 29,643.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.