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Finding the Third Proportional to 9,396 and 12,658

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Solution

The third proportional to 9,396 and 12,658 is: 17,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396 : 12,658 = 12,658 : x
  2. Step 2: Convert to fraction form
    9,396/12,658 = 12,658/x
  3. Step 3: Cross multiply
    9,396x = 12,658 × 12,658
  4. Step 4: Simplify right side
    9,396x = 160,224,964
  5. Step 5: Solve for x
    x = 160,224,964/9,396
  6. Step 6: Final answer
    x = 17,052.47

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