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Finding the Third Proportional to 15,214 and 23,028

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Solution

The third proportional to 15,214 and 23,028 is: 34,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214 : 23,028 = 23,028 : x
  2. Step 2: Convert to fraction form
    15,214/23,028 = 23,028/x
  3. Step 3: Cross multiply
    15,214x = 23,028 × 23,028
  4. Step 4: Simplify right side
    15,214x = 530,288,784
  5. Step 5: Solve for x
    x = 530,288,784/15,214
  6. Step 6: Final answer
    x = 34,855.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.