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Finding the Third Proportional to 1,159.71 and 2,043.91

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Solution

The third proportional to 1,159.71 and 2,043.91 is: 3,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.71 : 2,043.91 = 2,043.91 : x
  2. Step 2: Convert to fraction form
    1,159.71/2,043.91 = 2,043.91/x
  3. Step 3: Cross multiply
    1,159.71x = 2,043.91 × 2,043.91
  4. Step 4: Simplify right side
    1,159.71x = 4,177,548.77
  5. Step 5: Solve for x
    x = 4,177,548.77/1,159.71
  6. Step 6: Final answer
    x = 3,602.24

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.