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Finding the Third Proportional to 1,814.91 and 4,510.69

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Solution

The third proportional to 1,814.91 and 4,510.69 is: 11,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.91 : 4,510.69 = 4,510.69 : x
  2. Step 2: Convert to fraction form
    1,814.91/4,510.69 = 4,510.69/x
  3. Step 3: Cross multiply
    1,814.91x = 4,510.69 × 4,510.69
  4. Step 4: Simplify right side
    1,814.91x = 20,346,301.72
  5. Step 5: Solve for x
    x = 20,346,301.72/1,814.91
  6. Step 6: Final answer
    x = 11,210.66

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.