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Finding the Third Proportional to 9,448 and 13,207

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Solution

The third proportional to 9,448 and 13,207 is: 18,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448 : 13,207 = 13,207 : x
  2. Step 2: Convert to fraction form
    9,448/13,207 = 13,207/x
  3. Step 3: Cross multiply
    9,448x = 13,207 × 13,207
  4. Step 4: Simplify right side
    9,448x = 174,424,849
  5. Step 5: Solve for x
    x = 174,424,849/9,448
  6. Step 6: Final answer
    x = 18,461.56

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