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Finding the Third Proportional to 7,808.27 and 16,522.10

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Solution

The third proportional to 7,808.27 and 16,522.10 is: 34,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.27 : 16,522.10 = 16,522.10 : x
  2. Step 2: Convert to fraction form
    7,808.27/16,522.10 = 16,522.10/x
  3. Step 3: Cross multiply
    7,808.27x = 16,522.10 × 16,522.10
  4. Step 4: Simplify right side
    7,808.27x = 272,979,840.04
  5. Step 5: Solve for x
    x = 272,979,840.04/7,808.27
  6. Step 6: Final answer
    x = 34,960.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.