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Finding the Third Proportional to 22,045.88 and 33,781

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Solution

The third proportional to 22,045.88 and 33,781 is: 51,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,045.88 : 33,781 = 33,781 : x
  2. Step 2: Convert to fraction form
    22,045.88/33,781 = 33,781/x
  3. Step 3: Cross multiply
    22,045.88x = 33,781 × 33,781
  4. Step 4: Simplify right side
    22,045.88x = 1,141,155,961
  5. Step 5: Solve for x
    x = 1,141,155,961/22,045.88
  6. Step 6: Final answer
    x = 51,762.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.