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Finding the Third Proportional to 10,109.81 and 14,628.09

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Solution

The third proportional to 10,109.81 and 14,628.09 is: 21,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.81 : 14,628.09 = 14,628.09 : x
  2. Step 2: Convert to fraction form
    10,109.81/14,628.09 = 14,628.09/x
  3. Step 3: Cross multiply
    10,109.81x = 14,628.09 × 14,628.09
  4. Step 4: Simplify right side
    10,109.81x = 213,981,126.76
  5. Step 5: Solve for x
    x = 213,981,126.76/10,109.81
  6. Step 6: Final answer
    x = 21,165.69

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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.