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Finding the Third Proportional to 7,661.25 and 10,064.25

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Solution

The third proportional to 7,661.25 and 10,064.25 is: 13,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.25 : 10,064.25 = 10,064.25 : x
  2. Step 2: Convert to fraction form
    7,661.25/10,064.25 = 10,064.25/x
  3. Step 3: Cross multiply
    7,661.25x = 10,064.25 × 10,064.25
  4. Step 4: Simplify right side
    7,661.25x = 101,289,128.06
  5. Step 5: Solve for x
    x = 101,289,128.06/7,661.25
  6. Step 6: Final answer
    x = 13,220.97

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.