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Finding the Third Proportional to 37,663 and 56,365

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Solution

The third proportional to 37,663 and 56,365 is: 84,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,663 : 56,365 = 56,365 : x
  2. Step 2: Convert to fraction form
    37,663/56,365 = 56,365/x
  3. Step 3: Cross multiply
    37,663x = 56,365 × 56,365
  4. Step 4: Simplify right side
    37,663x = 3,177,013,225
  5. Step 5: Solve for x
    x = 3,177,013,225/37,663
  6. Step 6: Final answer
    x = 84,353.70

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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.