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Finding the Third Proportional to 5,651.48 and 12,275.93

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Solution

The third proportional to 5,651.48 and 12,275.93 is: 26,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.48 : 12,275.93 = 12,275.93 : x
  2. Step 2: Convert to fraction form
    5,651.48/12,275.93 = 12,275.93/x
  3. Step 3: Cross multiply
    5,651.48x = 12,275.93 × 12,275.93
  4. Step 4: Simplify right side
    5,651.48x = 150,698,449.69
  5. Step 5: Solve for x
    x = 150,698,449.69/5,651.48
  6. Step 6: Final answer
    x = 26,665.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.