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Finding the Third Proportional to 12,234.50 and 28,348

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Solution

The third proportional to 12,234.50 and 28,348 is: 65,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.50 : 28,348 = 28,348 : x
  2. Step 2: Convert to fraction form
    12,234.50/28,348 = 28,348/x
  3. Step 3: Cross multiply
    12,234.50x = 28,348 × 28,348
  4. Step 4: Simplify right side
    12,234.50x = 803,609,104
  5. Step 5: Solve for x
    x = 803,609,104/12,234.50
  6. Step 6: Final answer
    x = 65,683.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.