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Finding the Third Proportional to 36,521 and 77,750

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Solution

The third proportional to 36,521 and 77,750 is: 165,522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,521 : 77,750 = 77,750 : x
  2. Step 2: Convert to fraction form
    36,521/77,750 = 77,750/x
  3. Step 3: Cross multiply
    36,521x = 77,750 × 77,750
  4. Step 4: Simplify right side
    36,521x = 6,045,062,500
  5. Step 5: Solve for x
    x = 6,045,062,500/36,521
  6. Step 6: Final answer
    x = 165,522.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.