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Finding the Third Proportional to 10,372.75 and 14,911.13

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Solution

The third proportional to 10,372.75 and 14,911.13 is: 21,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.75 : 14,911.13 = 14,911.13 : x
  2. Step 2: Convert to fraction form
    10,372.75/14,911.13 = 14,911.13/x
  3. Step 3: Cross multiply
    10,372.75x = 14,911.13 × 14,911.13
  4. Step 4: Simplify right side
    10,372.75x = 222,341,648.77
  5. Step 5: Solve for x
    x = 222,341,648.77/10,372.75
  6. Step 6: Final answer
    x = 21,435.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.