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Finding the Third Proportional to 7,529.63 and 16,215.75

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Solution

The third proportional to 7,529.63 and 16,215.75 is: 34,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.63 : 16,215.75 = 16,215.75 : x
  2. Step 2: Convert to fraction form
    7,529.63/16,215.75 = 16,215.75/x
  3. Step 3: Cross multiply
    7,529.63x = 16,215.75 × 16,215.75
  4. Step 4: Simplify right side
    7,529.63x = 262,950,548.06
  5. Step 5: Solve for x
    x = 262,950,548.06/7,529.63
  6. Step 6: Final answer
    x = 34,922.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.