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Finding the Third Proportional to 4,310 and 6,459

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Solution

The third proportional to 4,310 and 6,459 is: 9,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310 : 6,459 = 6,459 : x
  2. Step 2: Convert to fraction form
    4,310/6,459 = 6,459/x
  3. Step 3: Cross multiply
    4,310x = 6,459 × 6,459
  4. Step 4: Simplify right side
    4,310x = 41,718,681
  5. Step 5: Solve for x
    x = 41,718,681/4,310
  6. Step 6: Final answer
    x = 9,679.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.