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Finding the Third Proportional to 2,527.13 and 5,180.63

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Solution

The third proportional to 2,527.13 and 5,180.63 is: 10,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.13 : 5,180.63 = 5,180.63 : x
  2. Step 2: Convert to fraction form
    2,527.13/5,180.63 = 5,180.63/x
  3. Step 3: Cross multiply
    2,527.13x = 5,180.63 × 5,180.63
  4. Step 4: Simplify right side
    2,527.13x = 26,838,875.39
  5. Step 5: Solve for x
    x = 26,838,875.39/2,527.13
  6. Step 6: Final answer
    x = 10,620.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.