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Finding the Third Proportional to 7,745 and 16,459

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Solution

The third proportional to 7,745 and 16,459 is: 34,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745 : 16,459 = 16,459 : x
  2. Step 2: Convert to fraction form
    7,745/16,459 = 16,459/x
  3. Step 3: Cross multiply
    7,745x = 16,459 × 16,459
  4. Step 4: Simplify right side
    7,745x = 270,898,681
  5. Step 5: Solve for x
    x = 270,898,681/7,745
  6. Step 6: Final answer
    x = 34,977.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.