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Finding the Third Proportional to 31,179.94 and 42,137.72

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Solution

The third proportional to 31,179.94 and 42,137.72 is: 56,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.94 : 42,137.72 = 42,137.72 : x
  2. Step 2: Convert to fraction form
    31,179.94/42,137.72 = 42,137.72/x
  3. Step 3: Cross multiply
    31,179.94x = 42,137.72 × 42,137.72
  4. Step 4: Simplify right side
    31,179.94x = 1,775,587,341.45
  5. Step 5: Solve for x
    x = 1,775,587,341.45/31,179.94
  6. Step 6: Final answer
    x = 56,946.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.