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Finding the Third Proportional to 13,502 and 28,087

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Solution

The third proportional to 13,502 and 28,087 is: 58,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502 : 28,087 = 28,087 : x
  2. Step 2: Convert to fraction form
    13,502/28,087 = 28,087/x
  3. Step 3: Cross multiply
    13,502x = 28,087 × 28,087
  4. Step 4: Simplify right side
    13,502x = 788,879,569
  5. Step 5: Solve for x
    x = 788,879,569/13,502
  6. Step 6: Final answer
    x = 58,426.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.