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Finding the Third Proportional to 9,006.19 and 18,308.53

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Solution

The third proportional to 9,006.19 and 18,308.53 is: 37,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.19 : 18,308.53 = 18,308.53 : x
  2. Step 2: Convert to fraction form
    9,006.19/18,308.53 = 18,308.53/x
  3. Step 3: Cross multiply
    9,006.19x = 18,308.53 × 18,308.53
  4. Step 4: Simplify right side
    9,006.19x = 335,202,316.53
  5. Step 5: Solve for x
    x = 335,202,316.53/9,006.19
  6. Step 6: Final answer
    x = 37,219.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.