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Finding the Third Proportional to 5,778.84 and 9,126.42

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Solution

The third proportional to 5,778.84 and 9,126.42 is: 14,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.84 : 9,126.42 = 9,126.42 : x
  2. Step 2: Convert to fraction form
    5,778.84/9,126.42 = 9,126.42/x
  3. Step 3: Cross multiply
    5,778.84x = 9,126.42 × 9,126.42
  4. Step 4: Simplify right side
    5,778.84x = 83,291,576.24
  5. Step 5: Solve for x
    x = 83,291,576.24/5,778.84
  6. Step 6: Final answer
    x = 14,413.19

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1.5x scale

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.