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Finding the Third Proportional to 14,239.13 and 18,898.13

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Solution

The third proportional to 14,239.13 and 18,898.13 is: 25,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.13 : 18,898.13 = 18,898.13 : x
  2. Step 2: Convert to fraction form
    14,239.13/18,898.13 = 18,898.13/x
  3. Step 3: Cross multiply
    14,239.13x = 18,898.13 × 18,898.13
  4. Step 4: Simplify right side
    14,239.13x = 357,139,128.52
  5. Step 5: Solve for x
    x = 357,139,128.52/14,239.13
  6. Step 6: Final answer
    x = 25,081.54

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