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Finding the Third Proportional to 8,524 and 14,942

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Solution

The third proportional to 8,524 and 14,942 is: 26,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524 : 14,942 = 14,942 : x
  2. Step 2: Convert to fraction form
    8,524/14,942 = 14,942/x
  3. Step 3: Cross multiply
    8,524x = 14,942 × 14,942
  4. Step 4: Simplify right side
    8,524x = 223,263,364
  5. Step 5: Solve for x
    x = 223,263,364/8,524
  6. Step 6: Final answer
    x = 26,192.32

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.