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Finding the Third Proportional to 14,097.38 and 19,708.31

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Solution

The third proportional to 14,097.38 and 19,708.31 is: 27,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.38 : 19,708.31 = 19,708.31 : x
  2. Step 2: Convert to fraction form
    14,097.38/19,708.31 = 19,708.31/x
  3. Step 3: Cross multiply
    14,097.38x = 19,708.31 × 19,708.31
  4. Step 4: Simplify right side
    14,097.38x = 388,417,581.60
  5. Step 5: Solve for x
    x = 388,417,581.60/14,097.38
  6. Step 6: Final answer
    x = 27,552.48

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