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Finding the Third Proportional to 7,260.75 and 15,699.94

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Solution

The third proportional to 7,260.75 and 15,699.94 is: 33,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.75 : 15,699.94 = 15,699.94 : x
  2. Step 2: Convert to fraction form
    7,260.75/15,699.94 = 15,699.94/x
  3. Step 3: Cross multiply
    7,260.75x = 15,699.94 × 15,699.94
  4. Step 4: Simplify right side
    7,260.75x = 246,488,037.50
  5. Step 5: Solve for x
    x = 246,488,037.50/7,260.75
  6. Step 6: Final answer
    x = 33,948.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.