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Finding the Third Proportional to 14,271.75 and 20,284.88

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Solution

The third proportional to 14,271.75 and 20,284.88 is: 28,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.75 : 20,284.88 = 20,284.88 : x
  2. Step 2: Convert to fraction form
    14,271.75/20,284.88 = 20,284.88/x
  3. Step 3: Cross multiply
    14,271.75x = 20,284.88 × 20,284.88
  4. Step 4: Simplify right side
    14,271.75x = 411,476,153.77
  5. Step 5: Solve for x
    x = 411,476,153.77/14,271.75
  6. Step 6: Final answer
    x = 28,831.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.