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Finding the Third Proportional to 23,358 and 36,738

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Solution

The third proportional to 23,358 and 36,738 is: 57,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358 : 36,738 = 36,738 : x
  2. Step 2: Convert to fraction form
    23,358/36,738 = 36,738/x
  3. Step 3: Cross multiply
    23,358x = 36,738 × 36,738
  4. Step 4: Simplify right side
    23,358x = 1,349,680,644
  5. Step 5: Solve for x
    x = 1,349,680,644/23,358
  6. Step 6: Final answer
    x = 57,782.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.