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Finding the Third Proportional to 37,700 and 56,552

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Solution

The third proportional to 37,700 and 56,552 is: 84,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,700 : 56,552 = 56,552 : x
  2. Step 2: Convert to fraction form
    37,700/56,552 = 56,552/x
  3. Step 3: Cross multiply
    37,700x = 56,552 × 56,552
  4. Step 4: Simplify right side
    37,700x = 3,198,128,704
  5. Step 5: Solve for x
    x = 3,198,128,704/37,700
  6. Step 6: Final answer
    x = 84,831.00

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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.