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Finding the Third Proportional to 37,710.84 and 55,913.91

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Solution

The third proportional to 37,710.84 and 55,913.91 is: 82,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710.84 : 55,913.91 = 55,913.91 : x
  2. Step 2: Convert to fraction form
    37,710.84/55,913.91 = 55,913.91/x
  3. Step 3: Cross multiply
    37,710.84x = 55,913.91 × 55,913.91
  4. Step 4: Simplify right side
    37,710.84x = 3,126,364,912.13
  5. Step 5: Solve for x
    x = 3,126,364,912.13/37,710.84
  6. Step 6: Final answer
    x = 82,903.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.