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Finding the Third Proportional to 2,271.38 and 5,000.63

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Solution

The third proportional to 2,271.38 and 5,000.63 is: 11,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.38 : 5,000.63 = 5,000.63 : x
  2. Step 2: Convert to fraction form
    2,271.38/5,000.63 = 5,000.63/x
  3. Step 3: Cross multiply
    2,271.38x = 5,000.63 × 5,000.63
  4. Step 4: Simplify right side
    2,271.38x = 25,006,250.39
  5. Step 5: Solve for x
    x = 25,006,250.39/2,271.38
  6. Step 6: Final answer
    x = 11,009.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.