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Finding the Third Proportional to 21,864.75 and 48,323.75

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Solution

The third proportional to 21,864.75 and 48,323.75 is: 106,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.75 : 48,323.75 = 48,323.75 : x
  2. Step 2: Convert to fraction form
    21,864.75/48,323.75 = 48,323.75/x
  3. Step 3: Cross multiply
    21,864.75x = 48,323.75 × 48,323.75
  4. Step 4: Simplify right side
    21,864.75x = 2,335,184,814.06
  5. Step 5: Solve for x
    x = 2,335,184,814.06/21,864.75
  6. Step 6: Final answer
    x = 106,801.35

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.