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Finding the Third Proportional to 9,603 and 12,764.25

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Solution

The third proportional to 9,603 and 12,764.25 is: 16,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 12,764.25 = 12,764.25 : x
  2. Step 2: Convert to fraction form
    9,603/12,764.25 = 12,764.25/x
  3. Step 3: Cross multiply
    9,603x = 12,764.25 × 12,764.25
  4. Step 4: Simplify right side
    9,603x = 162,926,078.06
  5. Step 5: Solve for x
    x = 162,926,078.06/9,603
  6. Step 6: Final answer
    x = 16,966.16

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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.