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Finding the Third Proportional to 31,451.63 and 42,028.88

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Solution

The third proportional to 31,451.63 and 42,028.88 is: 56,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.63 : 42,028.88 = 42,028.88 : x
  2. Step 2: Convert to fraction form
    31,451.63/42,028.88 = 42,028.88/x
  3. Step 3: Cross multiply
    31,451.63x = 42,028.88 × 42,028.88
  4. Step 4: Simplify right side
    31,451.63x = 1,766,426,333.77
  5. Step 5: Solve for x
    x = 1,766,426,333.77/31,451.63
  6. Step 6: Final answer
    x = 56,163.28

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.