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Finding the Third Proportional to 6,061.25 and 9,313.25

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Solution

The third proportional to 6,061.25 and 9,313.25 is: 14,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.25 : 9,313.25 = 9,313.25 : x
  2. Step 2: Convert to fraction form
    6,061.25/9,313.25 = 9,313.25/x
  3. Step 3: Cross multiply
    6,061.25x = 9,313.25 × 9,313.25
  4. Step 4: Simplify right side
    6,061.25x = 86,736,625.56
  5. Step 5: Solve for x
    x = 86,736,625.56/6,061.25
  6. Step 6: Final answer
    x = 14,310.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.