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Finding the Third Proportional to 14,438 and 32,155

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Solution

The third proportional to 14,438 and 32,155 is: 71,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438 : 32,155 = 32,155 : x
  2. Step 2: Convert to fraction form
    14,438/32,155 = 32,155/x
  3. Step 3: Cross multiply
    14,438x = 32,155 × 32,155
  4. Step 4: Simplify right side
    14,438x = 1,033,944,025
  5. Step 5: Solve for x
    x = 1,033,944,025/14,438
  6. Step 6: Final answer
    x = 71,612.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.