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Finding the Third Proportional to 23,309 and 36,927

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Solution

The third proportional to 23,309 and 36,927 is: 58,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309 : 36,927 = 36,927 : x
  2. Step 2: Convert to fraction form
    23,309/36,927 = 36,927/x
  3. Step 3: Cross multiply
    23,309x = 36,927 × 36,927
  4. Step 4: Simplify right side
    23,309x = 1,363,603,329
  5. Step 5: Solve for x
    x = 1,363,603,329/23,309
  6. Step 6: Final answer
    x = 58,501.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.