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Finding the Third Proportional to 9,610 and 22,921

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Solution

The third proportional to 9,610 and 22,921 is: 54,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610 : 22,921 = 22,921 : x
  2. Step 2: Convert to fraction form
    9,610/22,921 = 22,921/x
  3. Step 3: Cross multiply
    9,610x = 22,921 × 22,921
  4. Step 4: Simplify right side
    9,610x = 525,372,241
  5. Step 5: Solve for x
    x = 525,372,241/9,610
  6. Step 6: Final answer
    x = 54,669.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.