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Finding the Third Proportional to 14,439 and 31,341

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Solution

The third proportional to 14,439 and 31,341 is: 68,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439 : 31,341 = 31,341 : x
  2. Step 2: Convert to fraction form
    14,439/31,341 = 31,341/x
  3. Step 3: Cross multiply
    14,439x = 31,341 × 31,341
  4. Step 4: Simplify right side
    14,439x = 982,258,281
  5. Step 5: Solve for x
    x = 982,258,281/14,439
  6. Step 6: Final answer
    x = 68,028.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.