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Finding the Third Proportional to 11,332.50 and 26,349

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Solution

The third proportional to 11,332.50 and 26,349 is: 61,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.50 : 26,349 = 26,349 : x
  2. Step 2: Convert to fraction form
    11,332.50/26,349 = 26,349/x
  3. Step 3: Cross multiply
    11,332.50x = 26,349 × 26,349
  4. Step 4: Simplify right side
    11,332.50x = 694,269,801
  5. Step 5: Solve for x
    x = 694,269,801/11,332.50
  6. Step 6: Final answer
    x = 61,263.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.