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Finding the Third Proportional to 5,135 and 5,459

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Solution

The third proportional to 5,135 and 5,459 is: 5,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135 : 5,459 = 5,459 : x
  2. Step 2: Convert to fraction form
    5,135/5,459 = 5,459/x
  3. Step 3: Cross multiply
    5,135x = 5,459 × 5,459
  4. Step 4: Simplify right side
    5,135x = 29,800,681
  5. Step 5: Solve for x
    x = 29,800,681/5,135
  6. Step 6: Final answer
    x = 5,803.44

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.