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Finding the Third Proportional to 36,523 and 56,397

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Solution

The third proportional to 36,523 and 56,397 is: 87,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523 : 56,397 = 56,397 : x
  2. Step 2: Convert to fraction form
    36,523/56,397 = 56,397/x
  3. Step 3: Cross multiply
    36,523x = 56,397 × 56,397
  4. Step 4: Simplify right side
    36,523x = 3,180,621,609
  5. Step 5: Solve for x
    x = 3,180,621,609/36,523
  6. Step 6: Final answer
    x = 87,085.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.