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Finding the Third Proportional to 3,451.36 and 7,514.02

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Solution

The third proportional to 3,451.36 and 7,514.02 is: 16,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.36 : 7,514.02 = 7,514.02 : x
  2. Step 2: Convert to fraction form
    3,451.36/7,514.02 = 7,514.02/x
  3. Step 3: Cross multiply
    3,451.36x = 7,514.02 × 7,514.02
  4. Step 4: Simplify right side
    3,451.36x = 56,460,430.81
  5. Step 5: Solve for x
    x = 56,460,430.81/3,451.36
  6. Step 6: Final answer
    x = 16,358.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.