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Finding the Third Proportional to 7,052 and 10,188

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Solution

The third proportional to 7,052 and 10,188 is: 14,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052 : 10,188 = 10,188 : x
  2. Step 2: Convert to fraction form
    7,052/10,188 = 10,188/x
  3. Step 3: Cross multiply
    7,052x = 10,188 × 10,188
  4. Step 4: Simplify right side
    7,052x = 103,795,344
  5. Step 5: Solve for x
    x = 103,795,344/7,052
  6. Step 6: Final answer
    x = 14,718.57

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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.