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Finding the Third Proportional to 7,116 and 7,710

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Solution

The third proportional to 7,116 and 7,710 is: 8,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116 : 7,710 = 7,710 : x
  2. Step 2: Convert to fraction form
    7,116/7,710 = 7,710/x
  3. Step 3: Cross multiply
    7,116x = 7,710 × 7,710
  4. Step 4: Simplify right side
    7,116x = 59,444,100
  5. Step 5: Solve for x
    x = 59,444,100/7,116
  6. Step 6: Final answer
    x = 8,353.58

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.