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Finding the Third Proportional to 5,762 and 6,362

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Solution

The third proportional to 5,762 and 6,362 is: 7,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762 : 6,362 = 6,362 : x
  2. Step 2: Convert to fraction form
    5,762/6,362 = 6,362/x
  3. Step 3: Cross multiply
    5,762x = 6,362 × 6,362
  4. Step 4: Simplify right side
    5,762x = 40,475,044
  5. Step 5: Solve for x
    x = 40,475,044/5,762
  6. Step 6: Final answer
    x = 7,024.48

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.