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Finding the Third Proportional to 9,585 and 20,324

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Solution

The third proportional to 9,585 and 20,324 is: 43,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 20,324 = 20,324 : x
  2. Step 2: Convert to fraction form
    9,585/20,324 = 20,324/x
  3. Step 3: Cross multiply
    9,585x = 20,324 × 20,324
  4. Step 4: Simplify right side
    9,585x = 413,064,976
  5. Step 5: Solve for x
    x = 413,064,976/9,585
  6. Step 6: Final answer
    x = 43,094.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.