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Finding the Third Proportional to 14,259.38 and 18,923.63

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Solution

The third proportional to 14,259.38 and 18,923.63 is: 25,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.38 : 18,923.63 = 18,923.63 : x
  2. Step 2: Convert to fraction form
    14,259.38/18,923.63 = 18,923.63/x
  3. Step 3: Cross multiply
    14,259.38x = 18,923.63 × 18,923.63
  4. Step 4: Simplify right side
    14,259.38x = 358,103,583.14
  5. Step 5: Solve for x
    x = 358,103,583.14/14,259.38
  6. Step 6: Final answer
    x = 25,113.55

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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.