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Finding the Third Proportional to 6,475.50 and 15,837.75

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Solution

The third proportional to 6,475.50 and 15,837.75 is: 38,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.50 : 15,837.75 = 15,837.75 : x
  2. Step 2: Convert to fraction form
    6,475.50/15,837.75 = 15,837.75/x
  3. Step 3: Cross multiply
    6,475.50x = 15,837.75 × 15,837.75
  4. Step 4: Simplify right side
    6,475.50x = 250,834,325.06
  5. Step 5: Solve for x
    x = 250,834,325.06/6,475.50
  6. Step 6: Final answer
    x = 38,735.90

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.