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Finding the Third Proportional to 5,101 and 7,347

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Solution

The third proportional to 5,101 and 7,347 is: 10,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101 : 7,347 = 7,347 : x
  2. Step 2: Convert to fraction form
    5,101/7,347 = 7,347/x
  3. Step 3: Cross multiply
    5,101x = 7,347 × 7,347
  4. Step 4: Simplify right side
    5,101x = 53,978,409
  5. Step 5: Solve for x
    x = 53,978,409/5,101
  6. Step 6: Final answer
    x = 10,581.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.