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Finding the Third Proportional to 9,391 and 12,648

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Solution

The third proportional to 9,391 and 12,648 is: 17,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391 : 12,648 = 12,648 : x
  2. Step 2: Convert to fraction form
    9,391/12,648 = 12,648/x
  3. Step 3: Cross multiply
    9,391x = 12,648 × 12,648
  4. Step 4: Simplify right side
    9,391x = 159,971,904
  5. Step 5: Solve for x
    x = 159,971,904/9,391
  6. Step 6: Final answer
    x = 17,034.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.