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Finding the Third Proportional to 7,264.13 and 14,835.56

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Solution

The third proportional to 7,264.13 and 14,835.56 is: 30,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.13 : 14,835.56 = 14,835.56 : x
  2. Step 2: Convert to fraction form
    7,264.13/14,835.56 = 14,835.56/x
  3. Step 3: Cross multiply
    7,264.13x = 14,835.56 × 14,835.56
  4. Step 4: Simplify right side
    7,264.13x = 220,093,914.69
  5. Step 5: Solve for x
    x = 220,093,914.69/7,264.13
  6. Step 6: Final answer
    x = 30,298.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.