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Finding the Third Proportional to 33,064 and 38,572

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Solution

The third proportional to 33,064 and 38,572 is: 44,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064 : 38,572 = 38,572 : x
  2. Step 2: Convert to fraction form
    33,064/38,572 = 38,572/x
  3. Step 3: Cross multiply
    33,064x = 38,572 × 38,572
  4. Step 4: Simplify right side
    33,064x = 1,487,799,184
  5. Step 5: Solve for x
    x = 1,487,799,184/33,064
  6. Step 6: Final answer
    x = 44,997.56

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.