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Finding the Third Proportional to 3,256.88 and 3,855.94

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Solution

The third proportional to 3,256.88 and 3,855.94 is: 4,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.88 : 3,855.94 = 3,855.94 : x
  2. Step 2: Convert to fraction form
    3,256.88/3,855.94 = 3,855.94/x
  3. Step 3: Cross multiply
    3,256.88x = 3,855.94 × 3,855.94
  4. Step 4: Simplify right side
    3,256.88x = 14,868,254.00
  5. Step 5: Solve for x
    x = 14,868,254.00/3,256.88
  6. Step 6: Final answer
    x = 4,565.19

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.