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Finding the Third Proportional to 37,725.47 and 56,592.84

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Solution

The third proportional to 37,725.47 and 56,592.84 is: 84,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.47 : 56,592.84 = 56,592.84 : x
  2. Step 2: Convert to fraction form
    37,725.47/56,592.84 = 56,592.84/x
  3. Step 3: Cross multiply
    37,725.47x = 56,592.84 × 56,592.84
  4. Step 4: Simplify right side
    37,725.47x = 3,202,749,963.71
  5. Step 5: Solve for x
    x = 3,202,749,963.71/37,725.47
  6. Step 6: Final answer
    x = 84,896.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.