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Finding the Third Proportional to 11,307 and 26,197.50

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Solution

The third proportional to 11,307 and 26,197.50 is: 60,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307 : 26,197.50 = 26,197.50 : x
  2. Step 2: Convert to fraction form
    11,307/26,197.50 = 26,197.50/x
  3. Step 3: Cross multiply
    11,307x = 26,197.50 × 26,197.50
  4. Step 4: Simplify right side
    11,307x = 686,309,006.25
  5. Step 5: Solve for x
    x = 686,309,006.25/11,307
  6. Step 6: Final answer
    x = 60,697.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.