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Finding the Third Proportional to 10,784 and 16,688

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Solution

The third proportional to 10,784 and 16,688 is: 25,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784 : 16,688 = 16,688 : x
  2. Step 2: Convert to fraction form
    10,784/16,688 = 16,688/x
  3. Step 3: Cross multiply
    10,784x = 16,688 × 16,688
  4. Step 4: Simplify right side
    10,784x = 278,489,344
  5. Step 5: Solve for x
    x = 278,489,344/10,784
  6. Step 6: Final answer
    x = 25,824.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.