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Finding the Third Proportional to 29,066 and 62,778

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Solution

The third proportional to 29,066 and 62,778 is: 135,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,066 : 62,778 = 62,778 : x
  2. Step 2: Convert to fraction form
    29,066/62,778 = 62,778/x
  3. Step 3: Cross multiply
    29,066x = 62,778 × 62,778
  4. Step 4: Simplify right side
    29,066x = 3,941,077,284
  5. Step 5: Solve for x
    x = 3,941,077,284/29,066
  6. Step 6: Final answer
    x = 135,590.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.