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Finding the Third Proportional to 9,578 and 15,369

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Solution

The third proportional to 9,578 and 15,369 is: 24,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578 : 15,369 = 15,369 : x
  2. Step 2: Convert to fraction form
    9,578/15,369 = 15,369/x
  3. Step 3: Cross multiply
    9,578x = 15,369 × 15,369
  4. Step 4: Simplify right side
    9,578x = 236,206,161
  5. Step 5: Solve for x
    x = 236,206,161/9,578
  6. Step 6: Final answer
    x = 24,661.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.