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Finding the Third Proportional to 7,038.56 and 15,382.83

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Solution

The third proportional to 7,038.56 and 15,382.83 is: 33,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.56 : 15,382.83 = 15,382.83 : x
  2. Step 2: Convert to fraction form
    7,038.56/15,382.83 = 15,382.83/x
  3. Step 3: Cross multiply
    7,038.56x = 15,382.83 × 15,382.83
  4. Step 4: Simplify right side
    7,038.56x = 236,631,401.12
  5. Step 5: Solve for x
    x = 236,631,401.12/7,038.56
  6. Step 6: Final answer
    x = 33,619.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.