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Finding the Third Proportional to 7,705.13 and 11,131.88

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Solution

The third proportional to 7,705.13 and 11,131.88 is: 16,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.13 : 11,131.88 = 11,131.88 : x
  2. Step 2: Convert to fraction form
    7,705.13/11,131.88 = 11,131.88/x
  3. Step 3: Cross multiply
    7,705.13x = 11,131.88 × 11,131.88
  4. Step 4: Simplify right side
    7,705.13x = 123,918,641.02
  5. Step 5: Solve for x
    x = 123,918,641.02/7,705.13
  6. Step 6: Final answer
    x = 16,082.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.