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Finding the Third Proportional to 14,238.28 and 18,897.05

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Solution

The third proportional to 14,238.28 and 18,897.05 is: 25,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.28 : 18,897.05 = 18,897.05 : x
  2. Step 2: Convert to fraction form
    14,238.28/18,897.05 = 18,897.05/x
  3. Step 3: Cross multiply
    14,238.28x = 18,897.05 × 18,897.05
  4. Step 4: Simplify right side
    14,238.28x = 357,098,380.60
  5. Step 5: Solve for x
    x = 357,098,380.60/14,238.28
  6. Step 6: Final answer
    x = 25,080.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.