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Finding the Third Proportional to 14,348 and 31,342

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Solution

The third proportional to 14,348 and 31,342 is: 68,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348 : 31,342 = 31,342 : x
  2. Step 2: Convert to fraction form
    14,348/31,342 = 31,342/x
  3. Step 3: Cross multiply
    14,348x = 31,342 × 31,342
  4. Step 4: Simplify right side
    14,348x = 982,320,964
  5. Step 5: Solve for x
    x = 982,320,964/14,348
  6. Step 6: Final answer
    x = 68,463.96

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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.