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Finding the Third Proportional to 3,742.50 and 8,472

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Solution

The third proportional to 3,742.50 and 8,472 is: 19,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.50 : 8,472 = 8,472 : x
  2. Step 2: Convert to fraction form
    3,742.50/8,472 = 8,472/x
  3. Step 3: Cross multiply
    3,742.50x = 8,472 × 8,472
  4. Step 4: Simplify right side
    3,742.50x = 71,774,784
  5. Step 5: Solve for x
    x = 71,774,784/3,742.50
  6. Step 6: Final answer
    x = 19,178.30

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.