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Finding the Third Proportional to 33,237 and 70,776

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Solution

The third proportional to 33,237 and 70,776 is: 150,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237 : 70,776 = 70,776 : x
  2. Step 2: Convert to fraction form
    33,237/70,776 = 70,776/x
  3. Step 3: Cross multiply
    33,237x = 70,776 × 70,776
  4. Step 4: Simplify right side
    33,237x = 5,009,242,176
  5. Step 5: Solve for x
    x = 5,009,242,176/33,237
  6. Step 6: Final answer
    x = 150,712.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.