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Finding the Third Proportional to 7,204 and 10,070

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Solution

The third proportional to 7,204 and 10,070 is: 14,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204 : 10,070 = 10,070 : x
  2. Step 2: Convert to fraction form
    7,204/10,070 = 10,070/x
  3. Step 3: Cross multiply
    7,204x = 10,070 × 10,070
  4. Step 4: Simplify right side
    7,204x = 101,404,900
  5. Step 5: Solve for x
    x = 101,404,900/7,204
  6. Step 6: Final answer
    x = 14,076.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.