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Finding the Third Proportional to 4,135 and 4,459

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Solution

The third proportional to 4,135 and 4,459 is: 4,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135 : 4,459 = 4,459 : x
  2. Step 2: Convert to fraction form
    4,135/4,459 = 4,459/x
  3. Step 3: Cross multiply
    4,135x = 4,459 × 4,459
  4. Step 4: Simplify right side
    4,135x = 19,882,681
  5. Step 5: Solve for x
    x = 19,882,681/4,135
  6. Step 6: Final answer
    x = 4,808.39

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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.