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Finding the Third Proportional to 4,141.13 and 4,601.81

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Solution

The third proportional to 4,141.13 and 4,601.81 is: 5,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.13 : 4,601.81 = 4,601.81 : x
  2. Step 2: Convert to fraction form
    4,141.13/4,601.81 = 4,601.81/x
  3. Step 3: Cross multiply
    4,141.13x = 4,601.81 × 4,601.81
  4. Step 4: Simplify right side
    4,141.13x = 21,176,678.29
  5. Step 5: Solve for x
    x = 21,176,678.29/4,141.13
  6. Step 6: Final answer
    x = 5,113.75

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.