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Finding the Third Proportional to 5,924 and 14,306

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Solution

The third proportional to 5,924 and 14,306 is: 34,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924 : 14,306 = 14,306 : x
  2. Step 2: Convert to fraction form
    5,924/14,306 = 14,306/x
  3. Step 3: Cross multiply
    5,924x = 14,306 × 14,306
  4. Step 4: Simplify right side
    5,924x = 204,661,636
  5. Step 5: Solve for x
    x = 204,661,636/5,924
  6. Step 6: Final answer
    x = 34,547.88

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.