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Finding the Third Proportional to 3,066.56 and 6,641.63

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Solution

The third proportional to 3,066.56 and 6,641.63 is: 14,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.56 : 6,641.63 = 6,641.63 : x
  2. Step 2: Convert to fraction form
    3,066.56/6,641.63 = 6,641.63/x
  3. Step 3: Cross multiply
    3,066.56x = 6,641.63 × 6,641.63
  4. Step 4: Simplify right side
    3,066.56x = 44,111,182.64
  5. Step 5: Solve for x
    x = 44,111,182.64/3,066.56
  6. Step 6: Final answer
    x = 14,384.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.