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Finding the Third Proportional to 9,585 and 20,313

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Solution

The third proportional to 9,585 and 20,313 is: 43,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 20,313 = 20,313 : x
  2. Step 2: Convert to fraction form
    9,585/20,313 = 20,313/x
  3. Step 3: Cross multiply
    9,585x = 20,313 × 20,313
  4. Step 4: Simplify right side
    9,585x = 412,617,969
  5. Step 5: Solve for x
    x = 412,617,969/9,585
  6. Step 6: Final answer
    x = 43,048.30

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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.