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Finding the Third Proportional to 9,580 and 20,934

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Solution

The third proportional to 9,580 and 20,934 is: 45,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580 : 20,934 = 20,934 : x
  2. Step 2: Convert to fraction form
    9,580/20,934 = 20,934/x
  3. Step 3: Cross multiply
    9,580x = 20,934 × 20,934
  4. Step 4: Simplify right side
    9,580x = 438,232,356
  5. Step 5: Solve for x
    x = 438,232,356/9,580
  6. Step 6: Final answer
    x = 45,744.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.