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Finding the Third Proportional to 7,758.75 and 10,261.13

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Solution

The third proportional to 7,758.75 and 10,261.13 is: 13,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.75 : 10,261.13 = 10,261.13 : x
  2. Step 2: Convert to fraction form
    7,758.75/10,261.13 = 10,261.13/x
  3. Step 3: Cross multiply
    7,758.75x = 10,261.13 × 10,261.13
  4. Step 4: Simplify right side
    7,758.75x = 105,290,686.27
  5. Step 5: Solve for x
    x = 105,290,686.27/7,758.75
  6. Step 6: Final answer
    x = 13,570.57

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.