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Finding the Third Proportional to 5,972.06 and 12,587.06

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Solution

The third proportional to 5,972.06 and 12,587.06 is: 26,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.06 : 12,587.06 = 12,587.06 : x
  2. Step 2: Convert to fraction form
    5,972.06/12,587.06 = 12,587.06/x
  3. Step 3: Cross multiply
    5,972.06x = 12,587.06 × 12,587.06
  4. Step 4: Simplify right side
    5,972.06x = 158,434,142.38
  5. Step 5: Solve for x
    x = 158,434,142.38/5,972.06
  6. Step 6: Final answer
    x = 26,529.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.