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Finding the Third Proportional to 23,646 and 31,554

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Solution

The third proportional to 23,646 and 31,554 is: 42,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646 : 31,554 = 31,554 : x
  2. Step 2: Convert to fraction form
    23,646/31,554 = 31,554/x
  3. Step 3: Cross multiply
    23,646x = 31,554 × 31,554
  4. Step 4: Simplify right side
    23,646x = 995,654,916
  5. Step 5: Solve for x
    x = 995,654,916/23,646
  6. Step 6: Final answer
    x = 42,106.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.