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Finding the Third Proportional to 7,700 and 16,288

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Solution

The third proportional to 7,700 and 16,288 is: 34,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700 : 16,288 = 16,288 : x
  2. Step 2: Convert to fraction form
    7,700/16,288 = 16,288/x
  3. Step 3: Cross multiply
    7,700x = 16,288 × 16,288
  4. Step 4: Simplify right side
    7,700x = 265,298,944
  5. Step 5: Solve for x
    x = 265,298,944/7,700
  6. Step 6: Final answer
    x = 34,454.41

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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.