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Finding the Third Proportional to 42,942.66 and 63,131.91

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Solution

The third proportional to 42,942.66 and 63,131.91 is: 92,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,942.66 : 63,131.91 = 63,131.91 : x
  2. Step 2: Convert to fraction form
    42,942.66/63,131.91 = 63,131.91/x
  3. Step 3: Cross multiply
    42,942.66x = 63,131.91 × 63,131.91
  4. Step 4: Simplify right side
    42,942.66x = 3,985,637,586.76
  5. Step 5: Solve for x
    x = 3,985,637,586.76/42,942.66
  6. Step 6: Final answer
    x = 92,813.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.