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Finding the Third Proportional to 14,578 and 31,231

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Solution

The third proportional to 14,578 and 31,231 is: 66,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578 : 31,231 = 31,231 : x
  2. Step 2: Convert to fraction form
    14,578/31,231 = 31,231/x
  3. Step 3: Cross multiply
    14,578x = 31,231 × 31,231
  4. Step 4: Simplify right side
    14,578x = 975,375,361
  5. Step 5: Solve for x
    x = 975,375,361/14,578
  6. Step 6: Final answer
    x = 66,907.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.