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Finding the Third Proportional to 2,038.50 and 4,352.06

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Solution

The third proportional to 2,038.50 and 4,352.06 is: 9,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.50 : 4,352.06 = 4,352.06 : x
  2. Step 2: Convert to fraction form
    2,038.50/4,352.06 = 4,352.06/x
  3. Step 3: Cross multiply
    2,038.50x = 4,352.06 × 4,352.06
  4. Step 4: Simplify right side
    2,038.50x = 18,940,448.00
  5. Step 5: Solve for x
    x = 18,940,448.00/2,038.50
  6. Step 6: Final answer
    x = 9,291.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.