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Finding the Third Proportional to 14,079.75 and 21,078

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Solution

The third proportional to 14,079.75 and 21,078 is: 31,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,079.75 : 21,078 = 21,078 : x
  2. Step 2: Convert to fraction form
    14,079.75/21,078 = 21,078/x
  3. Step 3: Cross multiply
    14,079.75x = 21,078 × 21,078
  4. Step 4: Simplify right side
    14,079.75x = 444,282,084
  5. Step 5: Solve for x
    x = 444,282,084/14,079.75
  6. Step 6: Final answer
    x = 31,554.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.