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Finding the Third Proportional to 31,867.50 and 70,026

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Solution

The third proportional to 31,867.50 and 70,026 is: 153,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,867.50 : 70,026 = 70,026 : x
  2. Step 2: Convert to fraction form
    31,867.50/70,026 = 70,026/x
  3. Step 3: Cross multiply
    31,867.50x = 70,026 × 70,026
  4. Step 4: Simplify right side
    31,867.50x = 4,903,640,676
  5. Step 5: Solve for x
    x = 4,903,640,676/31,867.50
  6. Step 6: Final answer
    x = 153,875.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.