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Finding the Third Proportional to 14,352.19 and 19,665.28

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Solution

The third proportional to 14,352.19 and 19,665.28 is: 26,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.19 : 19,665.28 = 19,665.28 : x
  2. Step 2: Convert to fraction form
    14,352.19/19,665.28 = 19,665.28/x
  3. Step 3: Cross multiply
    14,352.19x = 19,665.28 × 19,665.28
  4. Step 4: Simplify right side
    14,352.19x = 386,723,286.64
  5. Step 5: Solve for x
    x = 386,723,286.64/14,352.19
  6. Step 6: Final answer
    x = 26,945.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.