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Finding the Third Proportional to 37,745 and 78,553

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Solution

The third proportional to 37,745 and 78,553 is: 163,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,745 : 78,553 = 78,553 : x
  2. Step 2: Convert to fraction form
    37,745/78,553 = 78,553/x
  3. Step 3: Cross multiply
    37,745x = 78,553 × 78,553
  4. Step 4: Simplify right side
    37,745x = 6,170,573,809
  5. Step 5: Solve for x
    x = 6,170,573,809/37,745
  6. Step 6: Final answer
    x = 163,480.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.