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Finding the Third Proportional to 36,640 and 78,464

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Solution

The third proportional to 36,640 and 78,464 is: 168,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,640 : 78,464 = 78,464 : x
  2. Step 2: Convert to fraction form
    36,640/78,464 = 78,464/x
  3. Step 3: Cross multiply
    36,640x = 78,464 × 78,464
  4. Step 4: Simplify right side
    36,640x = 6,156,599,296
  5. Step 5: Solve for x
    x = 6,156,599,296/36,640
  6. Step 6: Final answer
    x = 168,029.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.