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Finding the Third Proportional to 14,932 and 23,306

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Solution

The third proportional to 14,932 and 23,306 is: 36,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932 : 23,306 = 23,306 : x
  2. Step 2: Convert to fraction form
    14,932/23,306 = 23,306/x
  3. Step 3: Cross multiply
    14,932x = 23,306 × 23,306
  4. Step 4: Simplify right side
    14,932x = 543,169,636
  5. Step 5: Solve for x
    x = 543,169,636/14,932
  6. Step 6: Final answer
    x = 36,376.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.