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Finding the Third Proportional to 7,232.06 and 14,664.94

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Solution

The third proportional to 7,232.06 and 14,664.94 is: 29,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.06 : 14,664.94 = 14,664.94 : x
  2. Step 2: Convert to fraction form
    7,232.06/14,664.94 = 14,664.94/x
  3. Step 3: Cross multiply
    7,232.06x = 14,664.94 × 14,664.94
  4. Step 4: Simplify right side
    7,232.06x = 215,060,391.88
  5. Step 5: Solve for x
    x = 215,060,391.88/7,232.06
  6. Step 6: Final answer
    x = 29,737.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.