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Finding the Third Proportional to 36,762 and 51,770

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Solution

The third proportional to 36,762 and 51,770 is: 72,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,762 : 51,770 = 51,770 : x
  2. Step 2: Convert to fraction form
    36,762/51,770 = 51,770/x
  3. Step 3: Cross multiply
    36,762x = 51,770 × 51,770
  4. Step 4: Simplify right side
    36,762x = 2,680,132,900
  5. Step 5: Solve for x
    x = 2,680,132,900/36,762
  6. Step 6: Final answer
    x = 72,904.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.