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Finding the Third Proportional to 23,478 and 36,660

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Solution

The third proportional to 23,478 and 36,660 is: 57,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478 : 36,660 = 36,660 : x
  2. Step 2: Convert to fraction form
    23,478/36,660 = 36,660/x
  3. Step 3: Cross multiply
    23,478x = 36,660 × 36,660
  4. Step 4: Simplify right side
    23,478x = 1,343,955,600
  5. Step 5: Solve for x
    x = 1,343,955,600/23,478
  6. Step 6: Final answer
    x = 57,243.19

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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.