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Finding the Third Proportional to 6,516 and 12,816

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Solution

The third proportional to 6,516 and 12,816 is: 25,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 12,816 = 12,816 : x
  2. Step 2: Convert to fraction form
    6,516/12,816 = 12,816/x
  3. Step 3: Cross multiply
    6,516x = 12,816 × 12,816
  4. Step 4: Simplify right side
    6,516x = 164,249,856
  5. Step 5: Solve for x
    x = 164,249,856/6,516
  6. Step 6: Final answer
    x = 25,207.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.