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Finding the Third Proportional to 9,511 and 12,623

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Solution

The third proportional to 9,511 and 12,623 is: 16,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511 : 12,623 = 12,623 : x
  2. Step 2: Convert to fraction form
    9,511/12,623 = 12,623/x
  3. Step 3: Cross multiply
    9,511x = 12,623 × 12,623
  4. Step 4: Simplify right side
    9,511x = 159,340,129
  5. Step 5: Solve for x
    x = 159,340,129/9,511
  6. Step 6: Final answer
    x = 16,753.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.