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Finding the Third Proportional to 5,577.61 and 8,339.84

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Solution

The third proportional to 5,577.61 and 8,339.84 is: 12,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.61 : 8,339.84 = 8,339.84 : x
  2. Step 2: Convert to fraction form
    5,577.61/8,339.84 = 8,339.84/x
  3. Step 3: Cross multiply
    5,577.61x = 8,339.84 × 8,339.84
  4. Step 4: Simplify right side
    5,577.61x = 69,552,863.46
  5. Step 5: Solve for x
    x = 69,552,863.46/5,577.61
  6. Step 6: Final answer
    x = 12,470.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.