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Finding the Third Proportional to 5,776.65 and 12,454.05

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Solution

The third proportional to 5,776.65 and 12,454.05 is: 26,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.65 : 12,454.05 = 12,454.05 : x
  2. Step 2: Convert to fraction form
    5,776.65/12,454.05 = 12,454.05/x
  3. Step 3: Cross multiply
    5,776.65x = 12,454.05 × 12,454.05
  4. Step 4: Simplify right side
    5,776.65x = 155,103,277.48
  5. Step 5: Solve for x
    x = 155,103,277.48/5,776.65
  6. Step 6: Final answer
    x = 26,850.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.