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Finding the Third Proportional to 23,155 and 34,579

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Solution

The third proportional to 23,155 and 34,579 is: 51,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,155 : 34,579 = 34,579 : x
  2. Step 2: Convert to fraction form
    23,155/34,579 = 34,579/x
  3. Step 3: Cross multiply
    23,155x = 34,579 × 34,579
  4. Step 4: Simplify right side
    23,155x = 1,195,707,241
  5. Step 5: Solve for x
    x = 1,195,707,241/23,155
  6. Step 6: Final answer
    x = 51,639.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.