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Finding the Third Proportional to 37,915 and 82,553

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Solution

The third proportional to 37,915 and 82,553 is: 179,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,915 : 82,553 = 82,553 : x
  2. Step 2: Convert to fraction form
    37,915/82,553 = 82,553/x
  3. Step 3: Cross multiply
    37,915x = 82,553 × 82,553
  4. Step 4: Simplify right side
    37,915x = 6,814,997,809
  5. Step 5: Solve for x
    x = 6,814,997,809/37,915
  6. Step 6: Final answer
    x = 179,744.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.