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Finding the Third Proportional to 1,810.13 and 4,381.31

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Solution

The third proportional to 1,810.13 and 4,381.31 is: 10,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.13 : 4,381.31 = 4,381.31 : x
  2. Step 2: Convert to fraction form
    1,810.13/4,381.31 = 4,381.31/x
  3. Step 3: Cross multiply
    1,810.13x = 4,381.31 × 4,381.31
  4. Step 4: Simplify right side
    1,810.13x = 19,195,899.22
  5. Step 5: Solve for x
    x = 19,195,899.22/1,810.13
  6. Step 6: Final answer
    x = 10,604.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.