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Finding the Third Proportional to 9,595.13 and 19,964.81

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Solution

The third proportional to 9,595.13 and 19,964.81 is: 41,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.13 : 19,964.81 = 19,964.81 : x
  2. Step 2: Convert to fraction form
    9,595.13/19,964.81 = 19,964.81/x
  3. Step 3: Cross multiply
    9,595.13x = 19,964.81 × 19,964.81
  4. Step 4: Simplify right side
    9,595.13x = 398,593,738.16
  5. Step 5: Solve for x
    x = 398,593,738.16/9,595.13
  6. Step 6: Final answer
    x = 41,541.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.