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Finding the Third Proportional to 3,430.48 and 5,144.77

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Solution

The third proportional to 3,430.48 and 5,144.77 is: 7,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.48 : 5,144.77 = 5,144.77 : x
  2. Step 2: Convert to fraction form
    3,430.48/5,144.77 = 5,144.77/x
  3. Step 3: Cross multiply
    3,430.48x = 5,144.77 × 5,144.77
  4. Step 4: Simplify right side
    3,430.48x = 26,468,613.34
  5. Step 5: Solve for x
    x = 26,468,613.34/3,430.48
  6. Step 6: Final answer
    x = 7,715.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.