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Finding the Third Proportional to 5,058.45 and 7,658.84

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Solution

The third proportional to 5,058.45 and 7,658.84 is: 11,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.45 : 7,658.84 = 7,658.84 : x
  2. Step 2: Convert to fraction form
    5,058.45/7,658.84 = 7,658.84/x
  3. Step 3: Cross multiply
    5,058.45x = 7,658.84 × 7,658.84
  4. Step 4: Simplify right side
    5,058.45x = 58,657,767.92
  5. Step 5: Solve for x
    x = 58,657,767.92/5,058.45
  6. Step 6: Final answer
    x = 11,596.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.