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Finding the Third Proportional to 5,838 and 8,507

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Solution

The third proportional to 5,838 and 8,507 is: 12,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838 : 8,507 = 8,507 : x
  2. Step 2: Convert to fraction form
    5,838/8,507 = 8,507/x
  3. Step 3: Cross multiply
    5,838x = 8,507 × 8,507
  4. Step 4: Simplify right side
    5,838x = 72,369,049
  5. Step 5: Solve for x
    x = 72,369,049/5,838
  6. Step 6: Final answer
    x = 12,396.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.