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Finding the Third Proportional to 14,228.79 and 21,984.86

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Solution

The third proportional to 14,228.79 and 21,984.86 is: 33,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.79 : 21,984.86 = 21,984.86 : x
  2. Step 2: Convert to fraction form
    14,228.79/21,984.86 = 21,984.86/x
  3. Step 3: Cross multiply
    14,228.79x = 21,984.86 × 21,984.86
  4. Step 4: Simplify right side
    14,228.79x = 483,333,869.98
  5. Step 5: Solve for x
    x = 483,333,869.98/14,228.79
  6. Step 6: Final answer
    x = 33,968.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.