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Finding the Third Proportional to 14,208.38 and 21,312.75

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Solution

The third proportional to 14,208.38 and 21,312.75 is: 31,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.38 : 21,312.75 = 21,312.75 : x
  2. Step 2: Convert to fraction form
    14,208.38/21,312.75 = 21,312.75/x
  3. Step 3: Cross multiply
    14,208.38x = 21,312.75 × 21,312.75
  4. Step 4: Simplify right side
    14,208.38x = 454,233,312.56
  5. Step 5: Solve for x
    x = 454,233,312.56/14,208.38
  6. Step 6: Final answer
    x = 31,969.41

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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.