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Finding the Third Proportional to 2,435 and 3,854.50

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Solution

The third proportional to 2,435 and 3,854.50 is: 6,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435 : 3,854.50 = 3,854.50 : x
  2. Step 2: Convert to fraction form
    2,435/3,854.50 = 3,854.50/x
  3. Step 3: Cross multiply
    2,435x = 3,854.50 × 3,854.50
  4. Step 4: Simplify right side
    2,435x = 14,857,170.25
  5. Step 5: Solve for x
    x = 14,857,170.25/2,435
  6. Step 6: Final answer
    x = 6,101.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.