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Finding the Third Proportional to 5,827.78 and 9,202.78

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Solution

The third proportional to 5,827.78 and 9,202.78 is: 14,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.78 : 9,202.78 = 9,202.78 : x
  2. Step 2: Convert to fraction form
    5,827.78/9,202.78 = 9,202.78/x
  3. Step 3: Cross multiply
    5,827.78x = 9,202.78 × 9,202.78
  4. Step 4: Simplify right side
    5,827.78x = 84,691,182.74
  5. Step 5: Solve for x
    x = 84,691,182.74/5,827.78
  6. Step 6: Final answer
    x = 14,532.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.