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Finding the Third Proportional to 12,998 and 18,524

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Solution

The third proportional to 12,998 and 18,524 is: 26,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998 : 18,524 = 18,524 : x
  2. Step 2: Convert to fraction form
    12,998/18,524 = 18,524/x
  3. Step 3: Cross multiply
    12,998x = 18,524 × 18,524
  4. Step 4: Simplify right side
    12,998x = 343,138,576
  5. Step 5: Solve for x
    x = 343,138,576/12,998
  6. Step 6: Final answer
    x = 26,399.34

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1.5x scale

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.