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Finding the Third Proportional to 7,371 and 10,420.31

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Solution

The third proportional to 7,371 and 10,420.31 is: 14,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371 : 10,420.31 = 10,420.31 : x
  2. Step 2: Convert to fraction form
    7,371/10,420.31 = 10,420.31/x
  3. Step 3: Cross multiply
    7,371x = 10,420.31 × 10,420.31
  4. Step 4: Simplify right side
    7,371x = 108,582,912.60
  5. Step 5: Solve for x
    x = 108,582,912.60/7,371
  6. Step 6: Final answer
    x = 14,731.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.