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Finding the Third Proportional to 3,005.02 and 6,577.03

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Solution

The third proportional to 3,005.02 and 6,577.03 is: 14,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.02 : 6,577.03 = 6,577.03 : x
  2. Step 2: Convert to fraction form
    3,005.02/6,577.03 = 6,577.03/x
  3. Step 3: Cross multiply
    3,005.02x = 6,577.03 × 6,577.03
  4. Step 4: Simplify right side
    3,005.02x = 43,257,340.06
  5. Step 5: Solve for x
    x = 43,257,340.06/3,005.02
  6. Step 6: Final answer
    x = 14,395.05

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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.