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Finding the Third Proportional to 3,029.63 and 4,444.66

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Solution

The third proportional to 3,029.63 and 4,444.66 is: 6,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.63 : 4,444.66 = 4,444.66 : x
  2. Step 2: Convert to fraction form
    3,029.63/4,444.66 = 4,444.66/x
  3. Step 3: Cross multiply
    3,029.63x = 4,444.66 × 4,444.66
  4. Step 4: Simplify right side
    3,029.63x = 19,755,038.63
  5. Step 5: Solve for x
    x = 19,755,038.63/3,029.63
  6. Step 6: Final answer
    x = 6,520.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.