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Finding the Third Proportional to 9,282 and 13,411

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Solution

The third proportional to 9,282 and 13,411 is: 19,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282 : 13,411 = 13,411 : x
  2. Step 2: Convert to fraction form
    9,282/13,411 = 13,411/x
  3. Step 3: Cross multiply
    9,282x = 13,411 × 13,411
  4. Step 4: Simplify right side
    9,282x = 179,854,921
  5. Step 5: Solve for x
    x = 179,854,921/9,282
  6. Step 6: Final answer
    x = 19,376.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.