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Finding the Third Proportional to 42,037.81 and 82,907.91

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Solution

The third proportional to 42,037.81 and 82,907.91 is: 163,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,037.81 : 82,907.91 = 82,907.91 : x
  2. Step 2: Convert to fraction form
    42,037.81/82,907.91 = 82,907.91/x
  3. Step 3: Cross multiply
    42,037.81x = 82,907.91 × 82,907.91
  4. Step 4: Simplify right side
    42,037.81x = 6,873,721,525.99
  5. Step 5: Solve for x
    x = 6,873,721,525.99/42,037.81
  6. Step 6: Final answer
    x = 163,512.82

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.