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Finding the Third Proportional to 33,032 and 51,776

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Solution

The third proportional to 33,032 and 51,776 is: 81,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,032 : 51,776 = 51,776 : x
  2. Step 2: Convert to fraction form
    33,032/51,776 = 51,776/x
  3. Step 3: Cross multiply
    33,032x = 51,776 × 51,776
  4. Step 4: Simplify right side
    33,032x = 2,680,754,176
  5. Step 5: Solve for x
    x = 2,680,754,176/33,032
  6. Step 6: Final answer
    x = 81,156.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.