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Finding the Third Proportional to 9,438 and 13,202

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Solution

The third proportional to 9,438 and 13,202 is: 18,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 13,202 = 13,202 : x
  2. Step 2: Convert to fraction form
    9,438/13,202 = 13,202/x
  3. Step 3: Cross multiply
    9,438x = 13,202 × 13,202
  4. Step 4: Simplify right side
    9,438x = 174,292,804
  5. Step 5: Solve for x
    x = 174,292,804/9,438
  6. Step 6: Final answer
    x = 18,467.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.