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Finding the Third Proportional to 22,982 and 35,472

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Solution

The third proportional to 22,982 and 35,472 is: 54,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982 : 35,472 = 35,472 : x
  2. Step 2: Convert to fraction form
    22,982/35,472 = 35,472/x
  3. Step 3: Cross multiply
    22,982x = 35,472 × 35,472
  4. Step 4: Simplify right side
    22,982x = 1,258,262,784
  5. Step 5: Solve for x
    x = 1,258,262,784/22,982
  6. Step 6: Final answer
    x = 54,749.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.