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Finding the Third Proportional to 2,461.28 and 5,332.63

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Solution

The third proportional to 2,461.28 and 5,332.63 is: 11,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.28 : 5,332.63 = 5,332.63 : x
  2. Step 2: Convert to fraction form
    2,461.28/5,332.63 = 5,332.63/x
  3. Step 3: Cross multiply
    2,461.28x = 5,332.63 × 5,332.63
  4. Step 4: Simplify right side
    2,461.28x = 28,436,889.39
  5. Step 5: Solve for x
    x = 28,436,889.39/2,461.28
  6. Step 6: Final answer
    x = 11,553.69

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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.