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Finding the Third Proportional to 9,705.38 and 20,795.63

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Solution

The third proportional to 9,705.38 and 20,795.63 is: 44,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.38 : 20,795.63 = 20,795.63 : x
  2. Step 2: Convert to fraction form
    9,705.38/20,795.63 = 20,795.63/x
  3. Step 3: Cross multiply
    9,705.38x = 20,795.63 × 20,795.63
  4. Step 4: Simplify right side
    9,705.38x = 432,458,019.14
  5. Step 5: Solve for x
    x = 432,458,019.14/9,705.38
  6. Step 6: Final answer
    x = 44,558.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.