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Finding the Third Proportional to 8,548 and 13,022

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Solution

The third proportional to 8,548 and 13,022 is: 19,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548 : 13,022 = 13,022 : x
  2. Step 2: Convert to fraction form
    8,548/13,022 = 13,022/x
  3. Step 3: Cross multiply
    8,548x = 13,022 × 13,022
  4. Step 4: Simplify right side
    8,548x = 169,572,484
  5. Step 5: Solve for x
    x = 169,572,484/8,548
  6. Step 6: Final answer
    x = 19,837.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.