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Finding the Third Proportional to 9,038.46 and 18,517.36

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Solution

The third proportional to 9,038.46 and 18,517.36 is: 37,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.46 : 18,517.36 = 18,517.36 : x
  2. Step 2: Convert to fraction form
    9,038.46/18,517.36 = 18,517.36/x
  3. Step 3: Cross multiply
    9,038.46x = 18,517.36 × 18,517.36
  4. Step 4: Simplify right side
    9,038.46x = 342,892,598.22
  5. Step 5: Solve for x
    x = 342,892,598.22/9,038.46
  6. Step 6: Final answer
    x = 37,937.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.