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Finding the Third Proportional to 1,244.53 and 1,810.27

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Solution

The third proportional to 1,244.53 and 1,810.27 is: 2,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.53 : 1,810.27 = 1,810.27 : x
  2. Step 2: Convert to fraction form
    1,244.53/1,810.27 = 1,810.27/x
  3. Step 3: Cross multiply
    1,244.53x = 1,810.27 × 1,810.27
  4. Step 4: Simplify right side
    1,244.53x = 3,277,061.63
  5. Step 5: Solve for x
    x = 3,277,061.63/1,244.53
  6. Step 6: Final answer
    x = 2,633.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.