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Finding the Third Proportional to 23,336 and 51,209

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Solution

The third proportional to 23,336 and 51,209 is: 112,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,336 : 51,209 = 51,209 : x
  2. Step 2: Convert to fraction form
    23,336/51,209 = 51,209/x
  3. Step 3: Cross multiply
    23,336x = 51,209 × 51,209
  4. Step 4: Simplify right side
    23,336x = 2,622,361,681
  5. Step 5: Solve for x
    x = 2,622,361,681/23,336
  6. Step 6: Final answer
    x = 112,374.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.