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Finding the Third Proportional to 33,060 and 48,363

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Solution

The third proportional to 33,060 and 48,363 is: 70,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,060 : 48,363 = 48,363 : x
  2. Step 2: Convert to fraction form
    33,060/48,363 = 48,363/x
  3. Step 3: Cross multiply
    33,060x = 48,363 × 48,363
  4. Step 4: Simplify right side
    33,060x = 2,338,979,769
  5. Step 5: Solve for x
    x = 2,338,979,769/33,060
  6. Step 6: Final answer
    x = 70,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.