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Finding the Third Proportional to 7,175 and 10,015

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Solution

The third proportional to 7,175 and 10,015 is: 13,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175 : 10,015 = 10,015 : x
  2. Step 2: Convert to fraction form
    7,175/10,015 = 10,015/x
  3. Step 3: Cross multiply
    7,175x = 10,015 × 10,015
  4. Step 4: Simplify right side
    7,175x = 100,300,225
  5. Step 5: Solve for x
    x = 100,300,225/7,175
  6. Step 6: Final answer
    x = 13,979.13

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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.