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Finding the Third Proportional to 31,063.50 and 42,313.50

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Solution

The third proportional to 31,063.50 and 42,313.50 is: 57,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,063.50 : 42,313.50 = 42,313.50 : x
  2. Step 2: Convert to fraction form
    31,063.50/42,313.50 = 42,313.50/x
  3. Step 3: Cross multiply
    31,063.50x = 42,313.50 × 42,313.50
  4. Step 4: Simplify right side
    31,063.50x = 1,790,432,282.25
  5. Step 5: Solve for x
    x = 1,790,432,282.25/31,063.50
  6. Step 6: Final answer
    x = 57,637.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.