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Finding the Third Proportional to 23,309 and 36,359

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Solution

The third proportional to 23,309 and 36,359 is: 56,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309 : 36,359 = 36,359 : x
  2. Step 2: Convert to fraction form
    23,309/36,359 = 36,359/x
  3. Step 3: Cross multiply
    23,309x = 36,359 × 36,359
  4. Step 4: Simplify right side
    23,309x = 1,321,976,881
  5. Step 5: Solve for x
    x = 1,321,976,881/23,309
  6. Step 6: Final answer
    x = 56,715.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.