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Finding the Third Proportional to 3,032.44 and 6,254.72

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Solution

The third proportional to 3,032.44 and 6,254.72 is: 12,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.44 : 6,254.72 = 6,254.72 : x
  2. Step 2: Convert to fraction form
    3,032.44/6,254.72 = 6,254.72/x
  3. Step 3: Cross multiply
    3,032.44x = 6,254.72 × 6,254.72
  4. Step 4: Simplify right side
    3,032.44x = 39,121,506.64
  5. Step 5: Solve for x
    x = 39,121,506.64/3,032.44
  6. Step 6: Final answer
    x = 12,901.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.