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Finding the Third Proportional to 4,704.96 and 7,058.07

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Solution

The third proportional to 4,704.96 and 7,058.07 is: 10,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.96 : 7,058.07 = 7,058.07 : x
  2. Step 2: Convert to fraction form
    4,704.96/7,058.07 = 7,058.07/x
  3. Step 3: Cross multiply
    4,704.96x = 7,058.07 × 7,058.07
  4. Step 4: Simplify right side
    4,704.96x = 49,816,411.68
  5. Step 5: Solve for x
    x = 49,816,411.68/4,704.96
  6. Step 6: Final answer
    x = 10,588.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.