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Finding the Third Proportional to 7,495.88 and 11,203.31

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Solution

The third proportional to 7,495.88 and 11,203.31 is: 16,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.88 : 11,203.31 = 11,203.31 : x
  2. Step 2: Convert to fraction form
    7,495.88/11,203.31 = 11,203.31/x
  3. Step 3: Cross multiply
    7,495.88x = 11,203.31 × 11,203.31
  4. Step 4: Simplify right side
    7,495.88x = 125,514,210.97
  5. Step 5: Solve for x
    x = 125,514,210.97/7,495.88
  6. Step 6: Final answer
    x = 16,744.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.