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Finding the Third Proportional to 10,332 and 14,994

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Solution

The third proportional to 10,332 and 14,994 is: 21,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 14,994 = 14,994 : x
  2. Step 2: Convert to fraction form
    10,332/14,994 = 14,994/x
  3. Step 3: Cross multiply
    10,332x = 14,994 × 14,994
  4. Step 4: Simplify right side
    10,332x = 224,820,036
  5. Step 5: Solve for x
    x = 224,820,036/10,332
  6. Step 6: Final answer
    x = 21,759.59

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.