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Finding the Third Proportional to 14,121 and 32,143.50

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Solution

The third proportional to 14,121 and 32,143.50 is: 73,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121 : 32,143.50 = 32,143.50 : x
  2. Step 2: Convert to fraction form
    14,121/32,143.50 = 32,143.50/x
  3. Step 3: Cross multiply
    14,121x = 32,143.50 × 32,143.50
  4. Step 4: Simplify right side
    14,121x = 1,033,204,592.25
  5. Step 5: Solve for x
    x = 1,033,204,592.25/14,121
  6. Step 6: Final answer
    x = 73,167.95

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.