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Finding the Third Proportional to 4,386.23 and 9,592.59

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Solution

The third proportional to 4,386.23 and 9,592.59 is: 20,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.23 : 9,592.59 = 9,592.59 : x
  2. Step 2: Convert to fraction form
    4,386.23/9,592.59 = 9,592.59/x
  3. Step 3: Cross multiply
    4,386.23x = 9,592.59 × 9,592.59
  4. Step 4: Simplify right side
    4,386.23x = 92,017,854.85
  5. Step 5: Solve for x
    x = 92,017,854.85/4,386.23
  6. Step 6: Final answer
    x = 20,978.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.