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Finding the Third Proportional to 14,316.75 and 27,874.13

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Solution

The third proportional to 14,316.75 and 27,874.13 is: 54,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.75 : 27,874.13 = 27,874.13 : x
  2. Step 2: Convert to fraction form
    14,316.75/27,874.13 = 27,874.13/x
  3. Step 3: Cross multiply
    14,316.75x = 27,874.13 × 27,874.13
  4. Step 4: Simplify right side
    14,316.75x = 776,966,844.52
  5. Step 5: Solve for x
    x = 776,966,844.52/14,316.75
  6. Step 6: Final answer
    x = 54,269.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.