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Finding the Third Proportional to 5,102 and 5,582

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Solution

The third proportional to 5,102 and 5,582 is: 6,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 5,582 = 5,582 : x
  2. Step 2: Convert to fraction form
    5,102/5,582 = 5,582/x
  3. Step 3: Cross multiply
    5,102x = 5,582 × 5,582
  4. Step 4: Simplify right side
    5,102x = 31,158,724
  5. Step 5: Solve for x
    x = 31,158,724/5,102
  6. Step 6: Final answer
    x = 6,107.16

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.