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Finding the Third Proportional to 14,346 and 31,338

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Solution

The third proportional to 14,346 and 31,338 is: 68,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346 : 31,338 = 31,338 : x
  2. Step 2: Convert to fraction form
    14,346/31,338 = 31,338/x
  3. Step 3: Cross multiply
    14,346x = 31,338 × 31,338
  4. Step 4: Simplify right side
    14,346x = 982,070,244
  5. Step 5: Solve for x
    x = 982,070,244/14,346
  6. Step 6: Final answer
    x = 68,456.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.