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Finding the Third Proportional to 17,459 and 24,685

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Solution

The third proportional to 17,459 and 24,685 is: 34,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459 : 24,685 = 24,685 : x
  2. Step 2: Convert to fraction form
    17,459/24,685 = 24,685/x
  3. Step 3: Cross multiply
    17,459x = 24,685 × 24,685
  4. Step 4: Simplify right side
    17,459x = 609,349,225
  5. Step 5: Solve for x
    x = 609,349,225/17,459
  6. Step 6: Final answer
    x = 34,901.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.