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Finding the Third Proportional to 14,917.50 and 21,079.50

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Solution

The third proportional to 14,917.50 and 21,079.50 is: 29,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.50 : 21,079.50 = 21,079.50 : x
  2. Step 2: Convert to fraction form
    14,917.50/21,079.50 = 21,079.50/x
  3. Step 3: Cross multiply
    14,917.50x = 21,079.50 × 21,079.50
  4. Step 4: Simplify right side
    14,917.50x = 444,345,320.25
  5. Step 5: Solve for x
    x = 444,345,320.25/14,917.50
  6. Step 6: Final answer
    x = 29,786.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.