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Finding the Third Proportional to 14,232.59 and 19,905.12

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Solution

The third proportional to 14,232.59 and 19,905.12 is: 27,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.59 : 19,905.12 = 19,905.12 : x
  2. Step 2: Convert to fraction form
    14,232.59/19,905.12 = 19,905.12/x
  3. Step 3: Cross multiply
    14,232.59x = 19,905.12 × 19,905.12
  4. Step 4: Simplify right side
    14,232.59x = 396,213,690.25
  5. Step 5: Solve for x
    x = 396,213,690.25/14,232.59
  6. Step 6: Final answer
    x = 27,838.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.