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Finding the Third Proportional to 1,725.36 and 3,726.63

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Solution

The third proportional to 1,725.36 and 3,726.63 is: 8,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.36 : 3,726.63 = 3,726.63 : x
  2. Step 2: Convert to fraction form
    1,725.36/3,726.63 = 3,726.63/x
  3. Step 3: Cross multiply
    1,725.36x = 3,726.63 × 3,726.63
  4. Step 4: Simplify right side
    1,725.36x = 13,887,792.12
  5. Step 5: Solve for x
    x = 13,887,792.12/1,725.36
  6. Step 6: Final answer
    x = 8,049.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.