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Finding the Third Proportional to 4,305.10 and 6,649.64

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Solution

The third proportional to 4,305.10 and 6,649.64 is: 10,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.10 : 6,649.64 = 6,649.64 : x
  2. Step 2: Convert to fraction form
    4,305.10/6,649.64 = 6,649.64/x
  3. Step 3: Cross multiply
    4,305.10x = 6,649.64 × 6,649.64
  4. Step 4: Simplify right side
    4,305.10x = 44,217,754.53
  5. Step 5: Solve for x
    x = 44,217,754.53/4,305.10
  6. Step 6: Final answer
    x = 10,271.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.