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Finding the Third Proportional to 22,984 and 33,139

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Solution

The third proportional to 22,984 and 33,139 is: 47,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984 : 33,139 = 33,139 : x
  2. Step 2: Convert to fraction form
    22,984/33,139 = 33,139/x
  3. Step 3: Cross multiply
    22,984x = 33,139 × 33,139
  4. Step 4: Simplify right side
    22,984x = 1,098,193,321
  5. Step 5: Solve for x
    x = 1,098,193,321/22,984
  6. Step 6: Final answer
    x = 47,780.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.