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Finding the Third Proportional to 10,784 and 16,845

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Solution

The third proportional to 10,784 and 16,845 is: 26,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784 : 16,845 = 16,845 : x
  2. Step 2: Convert to fraction form
    10,784/16,845 = 16,845/x
  3. Step 3: Cross multiply
    10,784x = 16,845 × 16,845
  4. Step 4: Simplify right side
    10,784x = 283,754,025
  5. Step 5: Solve for x
    x = 283,754,025/10,784
  6. Step 6: Final answer
    x = 26,312.50

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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.