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Finding the Third Proportional to 6,903 and 14,782.50

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Solution

The third proportional to 6,903 and 14,782.50 is: 31,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 14,782.50 = 14,782.50 : x
  2. Step 2: Convert to fraction form
    6,903/14,782.50 = 14,782.50/x
  3. Step 3: Cross multiply
    6,903x = 14,782.50 × 14,782.50
  4. Step 4: Simplify right side
    6,903x = 218,522,306.25
  5. Step 5: Solve for x
    x = 218,522,306.25/6,903
  6. Step 6: Final answer
    x = 31,656.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.