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Finding the Third Proportional to 10,048.03 and 14,781.66

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Solution

The third proportional to 10,048.03 and 14,781.66 is: 21,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.03 : 14,781.66 = 14,781.66 : x
  2. Step 2: Convert to fraction form
    10,048.03/14,781.66 = 14,781.66/x
  3. Step 3: Cross multiply
    10,048.03x = 14,781.66 × 14,781.66
  4. Step 4: Simplify right side
    10,048.03x = 218,497,361.49
  5. Step 5: Solve for x
    x = 218,497,361.49/10,048.03
  6. Step 6: Final answer
    x = 21,745.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.