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Finding the Third Proportional to 37,313 and 80,641

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Solution

The third proportional to 37,313 and 80,641 is: 174,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,313 : 80,641 = 80,641 : x
  2. Step 2: Convert to fraction form
    37,313/80,641 = 80,641/x
  3. Step 3: Cross multiply
    37,313x = 80,641 × 80,641
  4. Step 4: Simplify right side
    37,313x = 6,502,970,881
  5. Step 5: Solve for x
    x = 6,502,970,881/37,313
  6. Step 6: Final answer
    x = 174,281.64

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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.