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Finding the Third Proportional to 7,757.02 and 10,428.12

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Solution

The third proportional to 7,757.02 and 10,428.12 is: 14,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.02 : 10,428.12 = 10,428.12 : x
  2. Step 2: Convert to fraction form
    7,757.02/10,428.12 = 10,428.12/x
  3. Step 3: Cross multiply
    7,757.02x = 10,428.12 × 10,428.12
  4. Step 4: Simplify right side
    7,757.02x = 108,745,628.08
  5. Step 5: Solve for x
    x = 108,745,628.08/7,757.02
  6. Step 6: Final answer
    x = 14,019.00

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.