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Finding the Third Proportional to 2,558.81 and 4,303.69

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Solution

The third proportional to 2,558.81 and 4,303.69 is: 7,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.81 : 4,303.69 = 4,303.69 : x
  2. Step 2: Convert to fraction form
    2,558.81/4,303.69 = 4,303.69/x
  3. Step 3: Cross multiply
    2,558.81x = 4,303.69 × 4,303.69
  4. Step 4: Simplify right side
    2,558.81x = 18,521,726.10
  5. Step 5: Solve for x
    x = 18,521,726.10/2,558.81
  6. Step 6: Final answer
    x = 7,238.41

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.