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Finding the Third Proportional to 5,972.06 and 9,187.59

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Solution

The third proportional to 5,972.06 and 9,187.59 is: 14,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.06 : 9,187.59 = 9,187.59 : x
  2. Step 2: Convert to fraction form
    5,972.06/9,187.59 = 9,187.59/x
  3. Step 3: Cross multiply
    5,972.06x = 9,187.59 × 9,187.59
  4. Step 4: Simplify right side
    5,972.06x = 84,411,878.92
  5. Step 5: Solve for x
    x = 84,411,878.92/5,972.06
  6. Step 6: Final answer
    x = 14,134.46

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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.