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Finding the Third Proportional to 36,464 and 78,516

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Solution

The third proportional to 36,464 and 78,516 is: 169,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,464 : 78,516 = 78,516 : x
  2. Step 2: Convert to fraction form
    36,464/78,516 = 78,516/x
  3. Step 3: Cross multiply
    36,464x = 78,516 × 78,516
  4. Step 4: Simplify right side
    36,464x = 6,164,762,256
  5. Step 5: Solve for x
    x = 6,164,762,256/36,464
  6. Step 6: Final answer
    x = 169,064.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.