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Finding the Third Proportional to 37,472.63 and 56,095.88

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Solution

The third proportional to 37,472.63 and 56,095.88 is: 83,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472.63 : 56,095.88 = 56,095.88 : x
  2. Step 2: Convert to fraction form
    37,472.63/56,095.88 = 56,095.88/x
  3. Step 3: Cross multiply
    37,472.63x = 56,095.88 × 56,095.88
  4. Step 4: Simplify right side
    37,472.63x = 3,146,747,192.02
  5. Step 5: Solve for x
    x = 3,146,747,192.02/37,472.63
  6. Step 6: Final answer
    x = 83,974.56

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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.