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Finding the Third Proportional to 22,869 and 34,709

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Solution

The third proportional to 22,869 and 34,709 is: 52,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869 : 34,709 = 34,709 : x
  2. Step 2: Convert to fraction form
    22,869/34,709 = 34,709/x
  3. Step 3: Cross multiply
    22,869x = 34,709 × 34,709
  4. Step 4: Simplify right side
    22,869x = 1,204,714,681
  5. Step 5: Solve for x
    x = 1,204,714,681/22,869
  6. Step 6: Final answer
    x = 52,678.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.