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Finding the Third Proportional to 4,799.67 and 7,513.03

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Solution

The third proportional to 4,799.67 and 7,513.03 is: 11,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.67 : 7,513.03 = 7,513.03 : x
  2. Step 2: Convert to fraction form
    4,799.67/7,513.03 = 7,513.03/x
  3. Step 3: Cross multiply
    4,799.67x = 7,513.03 × 7,513.03
  4. Step 4: Simplify right side
    4,799.67x = 56,445,638.56
  5. Step 5: Solve for x
    x = 56,445,638.56/4,799.67
  6. Step 6: Final answer
    x = 11,760.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.