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Finding the Third Proportional to 3,003.64 and 6,592.01

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Solution

The third proportional to 3,003.64 and 6,592.01 is: 14,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.64 : 6,592.01 = 6,592.01 : x
  2. Step 2: Convert to fraction form
    3,003.64/6,592.01 = 6,592.01/x
  3. Step 3: Cross multiply
    3,003.64x = 6,592.01 × 6,592.01
  4. Step 4: Simplify right side
    3,003.64x = 43,454,567.00
  5. Step 5: Solve for x
    x = 43,454,567.00/3,003.64
  6. Step 6: Final answer
    x = 14,467.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.