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Finding the Third Proportional to 14,864 and 23,364

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Solution

The third proportional to 14,864 and 23,364 is: 36,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864 : 23,364 = 23,364 : x
  2. Step 2: Convert to fraction form
    14,864/23,364 = 23,364/x
  3. Step 3: Cross multiply
    14,864x = 23,364 × 23,364
  4. Step 4: Simplify right side
    14,864x = 545,876,496
  5. Step 5: Solve for x
    x = 545,876,496/14,864
  6. Step 6: Final answer
    x = 36,724.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.