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Finding the Third Proportional to 7,502.63 and 13,843.13

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Solution

The third proportional to 7,502.63 and 13,843.13 is: 25,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.63 : 13,843.13 = 13,843.13 : x
  2. Step 2: Convert to fraction form
    7,502.63/13,843.13 = 13,843.13/x
  3. Step 3: Cross multiply
    7,502.63x = 13,843.13 × 13,843.13
  4. Step 4: Simplify right side
    7,502.63x = 191,632,109.77
  5. Step 5: Solve for x
    x = 191,632,109.77/7,502.63
  6. Step 6: Final answer
    x = 25,542.01

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.