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Finding the Third Proportional to 23,478 and 36,657

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Solution

The third proportional to 23,478 and 36,657 is: 57,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478 : 36,657 = 36,657 : x
  2. Step 2: Convert to fraction form
    23,478/36,657 = 36,657/x
  3. Step 3: Cross multiply
    23,478x = 36,657 × 36,657
  4. Step 4: Simplify right side
    23,478x = 1,343,735,649
  5. Step 5: Solve for x
    x = 1,343,735,649/23,478
  6. Step 6: Final answer
    x = 57,233.82

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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.