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Finding the Third Proportional to 8,270 and 9,710

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Solution

The third proportional to 8,270 and 9,710 is: 11,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270 : 9,710 = 9,710 : x
  2. Step 2: Convert to fraction form
    8,270/9,710 = 9,710/x
  3. Step 3: Cross multiply
    8,270x = 9,710 × 9,710
  4. Step 4: Simplify right side
    8,270x = 94,284,100
  5. Step 5: Solve for x
    x = 94,284,100/8,270
  6. Step 6: Final answer
    x = 11,400.74

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.