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Finding the Third Proportional to 36,592 and 78,880

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Solution

The third proportional to 36,592 and 78,880 is: 170,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592 : 78,880 = 78,880 : x
  2. Step 2: Convert to fraction form
    36,592/78,880 = 78,880/x
  3. Step 3: Cross multiply
    36,592x = 78,880 × 78,880
  4. Step 4: Simplify right side
    36,592x = 6,222,054,400
  5. Step 5: Solve for x
    x = 6,222,054,400/36,592
  6. Step 6: Final answer
    x = 170,038.65

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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.