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Finding the Third Proportional to 8,246 and 9,128

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Solution

The third proportional to 8,246 and 9,128 is: 10,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246 : 9,128 = 9,128 : x
  2. Step 2: Convert to fraction form
    8,246/9,128 = 9,128/x
  3. Step 3: Cross multiply
    8,246x = 9,128 × 9,128
  4. Step 4: Simplify right side
    8,246x = 83,320,384
  5. Step 5: Solve for x
    x = 83,320,384/8,246
  6. Step 6: Final answer
    x = 10,104.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.