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Finding the Third Proportional to 4,880.81 and 7,354.69

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Solution

The third proportional to 4,880.81 and 7,354.69 is: 11,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.81 : 7,354.69 = 7,354.69 : x
  2. Step 2: Convert to fraction form
    4,880.81/7,354.69 = 7,354.69/x
  3. Step 3: Cross multiply
    4,880.81x = 7,354.69 × 7,354.69
  4. Step 4: Simplify right side
    4,880.81x = 54,091,428.22
  5. Step 5: Solve for x
    x = 54,091,428.22/4,880.81
  6. Step 6: Final answer
    x = 11,082.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.