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Finding the Third Proportional to 5,270 and 7,146

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Solution

The third proportional to 5,270 and 7,146 is: 9,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270 : 7,146 = 7,146 : x
  2. Step 2: Convert to fraction form
    5,270/7,146 = 7,146/x
  3. Step 3: Cross multiply
    5,270x = 7,146 × 7,146
  4. Step 4: Simplify right side
    5,270x = 51,065,316
  5. Step 5: Solve for x
    x = 51,065,316/5,270
  6. Step 6: Final answer
    x = 9,689.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.