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Finding the Third Proportional to 14,117.25 and 20,784.75

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Solution

The third proportional to 14,117.25 and 20,784.75 is: 30,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.25 : 20,784.75 = 20,784.75 : x
  2. Step 2: Convert to fraction form
    14,117.25/20,784.75 = 20,784.75/x
  3. Step 3: Cross multiply
    14,117.25x = 20,784.75 × 20,784.75
  4. Step 4: Simplify right side
    14,117.25x = 432,005,832.56
  5. Step 5: Solve for x
    x = 432,005,832.56/14,117.25
  6. Step 6: Final answer
    x = 30,601.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.