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Finding the Third Proportional to 3,430.27 and 5,014.62

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Solution

The third proportional to 3,430.27 and 5,014.62 is: 7,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.27 : 5,014.62 = 5,014.62 : x
  2. Step 2: Convert to fraction form
    3,430.27/5,014.62 = 5,014.62/x
  3. Step 3: Cross multiply
    3,430.27x = 5,014.62 × 5,014.62
  4. Step 4: Simplify right side
    3,430.27x = 25,146,385.54
  5. Step 5: Solve for x
    x = 25,146,385.54/3,430.27
  6. Step 6: Final answer
    x = 7,330.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.