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Finding the Third Proportional to 7,816 and 16,046

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Solution

The third proportional to 7,816 and 16,046 is: 32,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816 : 16,046 = 16,046 : x
  2. Step 2: Convert to fraction form
    7,816/16,046 = 16,046/x
  3. Step 3: Cross multiply
    7,816x = 16,046 × 16,046
  4. Step 4: Simplify right side
    7,816x = 257,474,116
  5. Step 5: Solve for x
    x = 257,474,116/7,816
  6. Step 6: Final answer
    x = 32,941.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.