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Finding the Third Proportional to 23,246 and 51,184

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Solution

The third proportional to 23,246 and 51,184 is: 112,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246 : 51,184 = 51,184 : x
  2. Step 2: Convert to fraction form
    23,246/51,184 = 51,184/x
  3. Step 3: Cross multiply
    23,246x = 51,184 × 51,184
  4. Step 4: Simplify right side
    23,246x = 2,619,801,856
  5. Step 5: Solve for x
    x = 2,619,801,856/23,246
  6. Step 6: Final answer
    x = 112,699.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.