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Finding the Third Proportional to 7,346 and 11,384

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Solution

The third proportional to 7,346 and 11,384 is: 17,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346 : 11,384 = 11,384 : x
  2. Step 2: Convert to fraction form
    7,346/11,384 = 11,384/x
  3. Step 3: Cross multiply
    7,346x = 11,384 × 11,384
  4. Step 4: Simplify right side
    7,346x = 129,595,456
  5. Step 5: Solve for x
    x = 129,595,456/7,346
  6. Step 6: Final answer
    x = 17,641.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.