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Finding the Third Proportional to 4,549.61 and 6,113.92

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Solution

The third proportional to 4,549.61 and 6,113.92 is: 8,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.61 : 6,113.92 = 6,113.92 : x
  2. Step 2: Convert to fraction form
    4,549.61/6,113.92 = 6,113.92/x
  3. Step 3: Cross multiply
    4,549.61x = 6,113.92 × 6,113.92
  4. Step 4: Simplify right side
    4,549.61x = 37,379,992.93
  5. Step 5: Solve for x
    x = 37,379,992.93/4,549.61
  6. Step 6: Final answer
    x = 8,216.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.