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Finding the Third Proportional to 4,850.51 and 7,490.29

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Solution

The third proportional to 4,850.51 and 7,490.29 is: 11,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.51 : 7,490.29 = 7,490.29 : x
  2. Step 2: Convert to fraction form
    4,850.51/7,490.29 = 7,490.29/x
  3. Step 3: Cross multiply
    4,850.51x = 7,490.29 × 7,490.29
  4. Step 4: Simplify right side
    4,850.51x = 56,104,371.72
  5. Step 5: Solve for x
    x = 56,104,371.72/4,850.51
  6. Step 6: Final answer
    x = 11,566.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.