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Finding the Third Proportional to 30,961 and 67,855

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Solution

The third proportional to 30,961 and 67,855 is: 148,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961 : 67,855 = 67,855 : x
  2. Step 2: Convert to fraction form
    30,961/67,855 = 67,855/x
  3. Step 3: Cross multiply
    30,961x = 67,855 × 67,855
  4. Step 4: Simplify right side
    30,961x = 4,604,301,025
  5. Step 5: Solve for x
    x = 4,604,301,025/30,961
  6. Step 6: Final answer
    x = 148,712.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.