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Finding the Third Proportional to 2,235.09 and 2,437.59

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Solution

The third proportional to 2,235.09 and 2,437.59 is: 2,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.09 : 2,437.59 = 2,437.59 : x
  2. Step 2: Convert to fraction form
    2,235.09/2,437.59 = 2,437.59/x
  3. Step 3: Cross multiply
    2,235.09x = 2,437.59 × 2,437.59
  4. Step 4: Simplify right side
    2,235.09x = 5,941,863.29
  5. Step 5: Solve for x
    x = 5,941,863.29/2,235.09
  6. Step 6: Final answer
    x = 2,658.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.