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Finding the Third Proportional to 13,863 and 21,341.25

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Solution

The third proportional to 13,863 and 21,341.25 is: 32,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863 : 21,341.25 = 21,341.25 : x
  2. Step 2: Convert to fraction form
    13,863/21,341.25 = 21,341.25/x
  3. Step 3: Cross multiply
    13,863x = 21,341.25 × 21,341.25
  4. Step 4: Simplify right side
    13,863x = 455,448,951.56
  5. Step 5: Solve for x
    x = 455,448,951.56/13,863
  6. Step 6: Final answer
    x = 32,853.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.