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Finding the Third Proportional to 10,459 and 16,306

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Solution

The third proportional to 10,459 and 16,306 is: 25,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459 : 16,306 = 16,306 : x
  2. Step 2: Convert to fraction form
    10,459/16,306 = 16,306/x
  3. Step 3: Cross multiply
    10,459x = 16,306 × 16,306
  4. Step 4: Simplify right side
    10,459x = 265,885,636
  5. Step 5: Solve for x
    x = 265,885,636/10,459
  6. Step 6: Final answer
    x = 25,421.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.