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Finding the Third Proportional to 7,012 and 10,536

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Solution

The third proportional to 7,012 and 10,536 is: 15,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012 : 10,536 = 10,536 : x
  2. Step 2: Convert to fraction form
    7,012/10,536 = 10,536/x
  3. Step 3: Cross multiply
    7,012x = 10,536 × 10,536
  4. Step 4: Simplify right side
    7,012x = 111,007,296
  5. Step 5: Solve for x
    x = 111,007,296/7,012
  6. Step 6: Final answer
    x = 15,831.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.