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Finding the Third Proportional to 14,152.88 and 19,152.38

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Solution

The third proportional to 14,152.88 and 19,152.38 is: 25,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.88 : 19,152.38 = 19,152.38 : x
  2. Step 2: Convert to fraction form
    14,152.88/19,152.38 = 19,152.38/x
  3. Step 3: Cross multiply
    14,152.88x = 19,152.38 × 19,152.38
  4. Step 4: Simplify right side
    14,152.88x = 366,813,468.14
  5. Step 5: Solve for x
    x = 366,813,468.14/14,152.88
  6. Step 6: Final answer
    x = 25,917.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.