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Finding the Third Proportional to 4,902 and 7,505

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Solution

The third proportional to 4,902 and 7,505 is: 11,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902 : 7,505 = 7,505 : x
  2. Step 2: Convert to fraction form
    4,902/7,505 = 7,505/x
  3. Step 3: Cross multiply
    4,902x = 7,505 × 7,505
  4. Step 4: Simplify right side
    4,902x = 56,325,025
  5. Step 5: Solve for x
    x = 56,325,025/4,902
  6. Step 6: Final answer
    x = 11,490.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.