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Finding the Third Proportional to 33,840 and 45,650

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Solution

The third proportional to 33,840 and 45,650 is: 61,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840 : 45,650 = 45,650 : x
  2. Step 2: Convert to fraction form
    33,840/45,650 = 45,650/x
  3. Step 3: Cross multiply
    33,840x = 45,650 × 45,650
  4. Step 4: Simplify right side
    33,840x = 2,083,922,500
  5. Step 5: Solve for x
    x = 2,083,922,500/33,840
  6. Step 6: Final answer
    x = 61,581.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.