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Finding the Third Proportional to 2,644.52 and 6,038.93

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Solution

The third proportional to 2,644.52 and 6,038.93 is: 13,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.52 : 6,038.93 = 6,038.93 : x
  2. Step 2: Convert to fraction form
    2,644.52/6,038.93 = 6,038.93/x
  3. Step 3: Cross multiply
    2,644.52x = 6,038.93 × 6,038.93
  4. Step 4: Simplify right side
    2,644.52x = 36,468,671.77
  5. Step 5: Solve for x
    x = 36,468,671.77/2,644.52
  6. Step 6: Final answer
    x = 13,790.26

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.