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Finding the Third Proportional to 10,562 and 15,087

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Solution

The third proportional to 10,562 and 15,087 is: 21,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562 : 15,087 = 15,087 : x
  2. Step 2: Convert to fraction form
    10,562/15,087 = 15,087/x
  3. Step 3: Cross multiply
    10,562x = 15,087 × 15,087
  4. Step 4: Simplify right side
    10,562x = 227,617,569
  5. Step 5: Solve for x
    x = 227,617,569/10,562
  6. Step 6: Final answer
    x = 21,550.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.