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Finding the Third Proportional to 7,383 and 15,389

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Solution

The third proportional to 7,383 and 15,389 is: 32,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 15,389 = 15,389 : x
  2. Step 2: Convert to fraction form
    7,383/15,389 = 15,389/x
  3. Step 3: Cross multiply
    7,383x = 15,389 × 15,389
  4. Step 4: Simplify right side
    7,383x = 236,821,321
  5. Step 5: Solve for x
    x = 236,821,321/7,383
  6. Step 6: Final answer
    x = 32,076.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.