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Finding the Third Proportional to 23,382 and 36,342

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Solution

The third proportional to 23,382 and 36,342 is: 56,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382 : 36,342 = 36,342 : x
  2. Step 2: Convert to fraction form
    23,382/36,342 = 36,342/x
  3. Step 3: Cross multiply
    23,382x = 36,342 × 36,342
  4. Step 4: Simplify right side
    23,382x = 1,320,740,964
  5. Step 5: Solve for x
    x = 1,320,740,964/23,382
  6. Step 6: Final answer
    x = 56,485.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.