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Finding the Third Proportional to 7,720.13 and 15,713.63

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Solution

The third proportional to 7,720.13 and 15,713.63 is: 31,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.13 : 15,713.63 = 15,713.63 : x
  2. Step 2: Convert to fraction form
    7,720.13/15,713.63 = 15,713.63/x
  3. Step 3: Cross multiply
    7,720.13x = 15,713.63 × 15,713.63
  4. Step 4: Simplify right side
    7,720.13x = 246,918,010.64
  5. Step 5: Solve for x
    x = 246,918,010.64/7,720.13
  6. Step 6: Final answer
    x = 31,983.68

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.