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Finding the Third Proportional to 8,524 and 18,527

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Solution

The third proportional to 8,524 and 18,527 is: 40,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524 : 18,527 = 18,527 : x
  2. Step 2: Convert to fraction form
    8,524/18,527 = 18,527/x
  3. Step 3: Cross multiply
    8,524x = 18,527 × 18,527
  4. Step 4: Simplify right side
    8,524x = 343,249,729
  5. Step 5: Solve for x
    x = 343,249,729/8,524
  6. Step 6: Final answer
    x = 40,268.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.