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Finding the Third Proportional to 3,541.78 and 5,214.66

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Solution

The third proportional to 3,541.78 and 5,214.66 is: 7,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.78 : 5,214.66 = 5,214.66 : x
  2. Step 2: Convert to fraction form
    3,541.78/5,214.66 = 5,214.66/x
  3. Step 3: Cross multiply
    3,541.78x = 5,214.66 × 5,214.66
  4. Step 4: Simplify right side
    3,541.78x = 27,192,639.81
  5. Step 5: Solve for x
    x = 27,192,639.81/3,541.78
  6. Step 6: Final answer
    x = 7,677.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.