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Finding the Third Proportional to 9,051.28 and 18,731.53

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Solution

The third proportional to 9,051.28 and 18,731.53 is: 38,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.28 : 18,731.53 = 18,731.53 : x
  2. Step 2: Convert to fraction form
    9,051.28/18,731.53 = 18,731.53/x
  3. Step 3: Cross multiply
    9,051.28x = 18,731.53 × 18,731.53
  4. Step 4: Simplify right side
    9,051.28x = 350,870,098.34
  5. Step 5: Solve for x
    x = 350,870,098.34/9,051.28
  6. Step 6: Final answer
    x = 38,764.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.