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Finding the Third Proportional to 14,235 and 21,286.50

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Solution

The third proportional to 14,235 and 21,286.50 is: 31,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235 : 21,286.50 = 21,286.50 : x
  2. Step 2: Convert to fraction form
    14,235/21,286.50 = 21,286.50/x
  3. Step 3: Cross multiply
    14,235x = 21,286.50 × 21,286.50
  4. Step 4: Simplify right side
    14,235x = 453,115,082.25
  5. Step 5: Solve for x
    x = 453,115,082.25/14,235
  6. Step 6: Final answer
    x = 31,831.06

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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.