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Finding the Third Proportional to 10,047.66 and 14,781.09

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Solution

The third proportional to 10,047.66 and 14,781.09 is: 21,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.66 : 14,781.09 = 14,781.09 : x
  2. Step 2: Convert to fraction form
    10,047.66/14,781.09 = 14,781.09/x
  3. Step 3: Cross multiply
    10,047.66x = 14,781.09 × 14,781.09
  4. Step 4: Simplify right side
    10,047.66x = 218,480,732.45
  5. Step 5: Solve for x
    x = 218,480,732.45/10,047.66
  6. Step 6: Final answer
    x = 21,744.45

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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.