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Finding the Third Proportional to 12,816 and 26,919

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Solution

The third proportional to 12,816 and 26,919 is: 56,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 26,919 = 26,919 : x
  2. Step 2: Convert to fraction form
    12,816/26,919 = 26,919/x
  3. Step 3: Cross multiply
    12,816x = 26,919 × 26,919
  4. Step 4: Simplify right side
    12,816x = 724,632,561
  5. Step 5: Solve for x
    x = 724,632,561/12,816
  6. Step 6: Final answer
    x = 56,541.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.