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Finding the Third Proportional to 11,169 and 23,257.50

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Solution

The third proportional to 11,169 and 23,257.50 is: 48,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169 : 23,257.50 = 23,257.50 : x
  2. Step 2: Convert to fraction form
    11,169/23,257.50 = 23,257.50/x
  3. Step 3: Cross multiply
    11,169x = 23,257.50 × 23,257.50
  4. Step 4: Simplify right side
    11,169x = 540,911,306.25
  5. Step 5: Solve for x
    x = 540,911,306.25/11,169
  6. Step 6: Final answer
    x = 48,429.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.