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Finding the Third Proportional to 23,308 and 36,923

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Solution

The third proportional to 23,308 and 36,923 is: 58,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308 : 36,923 = 36,923 : x
  2. Step 2: Convert to fraction form
    23,308/36,923 = 36,923/x
  3. Step 3: Cross multiply
    23,308x = 36,923 × 36,923
  4. Step 4: Simplify right side
    23,308x = 1,363,307,929
  5. Step 5: Solve for x
    x = 1,363,307,929/23,308
  6. Step 6: Final answer
    x = 58,490.99

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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.