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Finding the Third Proportional to 33,246 and 55,407

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Solution

The third proportional to 33,246 and 55,407 is: 92,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246 : 55,407 = 55,407 : x
  2. Step 2: Convert to fraction form
    33,246/55,407 = 55,407/x
  3. Step 3: Cross multiply
    33,246x = 55,407 × 55,407
  4. Step 4: Simplify right side
    33,246x = 3,069,935,649
  5. Step 5: Solve for x
    x = 3,069,935,649/33,246
  6. Step 6: Final answer
    x = 92,340.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.