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Finding the Third Proportional to 2,480.63 and 5,341.13

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Solution

The third proportional to 2,480.63 and 5,341.13 is: 11,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.63 : 5,341.13 = 5,341.13 : x
  2. Step 2: Convert to fraction form
    2,480.63/5,341.13 = 5,341.13/x
  3. Step 3: Cross multiply
    2,480.63x = 5,341.13 × 5,341.13
  4. Step 4: Simplify right side
    2,480.63x = 28,527,616.27
  5. Step 5: Solve for x
    x = 28,527,616.27/2,480.63
  6. Step 6: Final answer
    x = 11,500.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.