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Finding the Third Proportional to 6,435.75 and 15,035

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Solution

The third proportional to 6,435.75 and 15,035 is: 35,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.75 : 15,035 = 15,035 : x
  2. Step 2: Convert to fraction form
    6,435.75/15,035 = 15,035/x
  3. Step 3: Cross multiply
    6,435.75x = 15,035 × 15,035
  4. Step 4: Simplify right side
    6,435.75x = 226,051,225
  5. Step 5: Solve for x
    x = 226,051,225/6,435.75
  6. Step 6: Final answer
    x = 35,124.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.