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Finding the Third Proportional to 5,658.19 and 7,392.94

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Solution

The third proportional to 5,658.19 and 7,392.94 is: 9,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.19 : 7,392.94 = 7,392.94 : x
  2. Step 2: Convert to fraction form
    5,658.19/7,392.94 = 7,392.94/x
  3. Step 3: Cross multiply
    5,658.19x = 7,392.94 × 7,392.94
  4. Step 4: Simplify right side
    5,658.19x = 54,655,524.88
  5. Step 5: Solve for x
    x = 54,655,524.88/5,658.19
  6. Step 6: Final answer
    x = 9,659.55

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.