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Finding the Third Proportional to 9,262 and 19,826

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Solution

The third proportional to 9,262 and 19,826 is: 42,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262 : 19,826 = 19,826 : x
  2. Step 2: Convert to fraction form
    9,262/19,826 = 19,826/x
  3. Step 3: Cross multiply
    9,262x = 19,826 × 19,826
  4. Step 4: Simplify right side
    9,262x = 393,070,276
  5. Step 5: Solve for x
    x = 393,070,276/9,262
  6. Step 6: Final answer
    x = 42,439.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.