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Finding the Third Proportional to 3,903 and 8,530.50

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Solution

The third proportional to 3,903 and 8,530.50 is: 18,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903 : 8,530.50 = 8,530.50 : x
  2. Step 2: Convert to fraction form
    3,903/8,530.50 = 8,530.50/x
  3. Step 3: Cross multiply
    3,903x = 8,530.50 × 8,530.50
  4. Step 4: Simplify right side
    3,903x = 72,769,430.25
  5. Step 5: Solve for x
    x = 72,769,430.25/3,903
  6. Step 6: Final answer
    x = 18,644.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.