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Finding the Third Proportional to 3,458.63 and 7,498.31

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Solution

The third proportional to 3,458.63 and 7,498.31 is: 16,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.63 : 7,498.31 = 7,498.31 : x
  2. Step 2: Convert to fraction form
    3,458.63/7,498.31 = 7,498.31/x
  3. Step 3: Cross multiply
    3,458.63x = 7,498.31 × 7,498.31
  4. Step 4: Simplify right side
    3,458.63x = 56,224,690.35
  5. Step 5: Solve for x
    x = 56,224,690.35/3,458.63
  6. Step 6: Final answer
    x = 16,256.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.