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Finding the Third Proportional to 36,507 and 78,846

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Solution

The third proportional to 36,507 and 78,846 is: 170,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,507 : 78,846 = 78,846 : x
  2. Step 2: Convert to fraction form
    36,507/78,846 = 78,846/x
  3. Step 3: Cross multiply
    36,507x = 78,846 × 78,846
  4. Step 4: Simplify right side
    36,507x = 6,216,691,716
  5. Step 5: Solve for x
    x = 6,216,691,716/36,507
  6. Step 6: Final answer
    x = 170,287.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.