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Finding the Third Proportional to 6,066 and 12,866.63

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Solution

The third proportional to 6,066 and 12,866.63 is: 27,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066 : 12,866.63 = 12,866.63 : x
  2. Step 2: Convert to fraction form
    6,066/12,866.63 = 12,866.63/x
  3. Step 3: Cross multiply
    6,066x = 12,866.63 × 12,866.63
  4. Step 4: Simplify right side
    6,066x = 165,550,038.89
  5. Step 5: Solve for x
    x = 165,550,038.89/6,066
  6. Step 6: Final answer
    x = 27,291.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.