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Finding the Third Proportional to 15,776 and 33,208

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Solution

The third proportional to 15,776 and 33,208 is: 69,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776 : 33,208 = 33,208 : x
  2. Step 2: Convert to fraction form
    15,776/33,208 = 33,208/x
  3. Step 3: Cross multiply
    15,776x = 33,208 × 33,208
  4. Step 4: Simplify right side
    15,776x = 1,102,771,264
  5. Step 5: Solve for x
    x = 1,102,771,264/15,776
  6. Step 6: Final answer
    x = 69,901.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.