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Finding the Third Proportional to 31,050 and 67,017.94

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Solution

The third proportional to 31,050 and 67,017.94 is: 144,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050 : 67,017.94 = 67,017.94 : x
  2. Step 2: Convert to fraction form
    31,050/67,017.94 = 67,017.94/x
  3. Step 3: Cross multiply
    31,050x = 67,017.94 × 67,017.94
  4. Step 4: Simplify right side
    31,050x = 4,491,403,946.75
  5. Step 5: Solve for x
    x = 4,491,403,946.75/31,050
  6. Step 6: Final answer
    x = 144,650.69

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