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Finding the Third Proportional to 37,813 and 56,710

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Solution

The third proportional to 37,813 and 56,710 is: 85,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813 : 56,710 = 56,710 : x
  2. Step 2: Convert to fraction form
    37,813/56,710 = 56,710/x
  3. Step 3: Cross multiply
    37,813x = 56,710 × 56,710
  4. Step 4: Simplify right side
    37,813x = 3,216,024,100
  5. Step 5: Solve for x
    x = 3,216,024,100/37,813
  6. Step 6: Final answer
    x = 85,050.75

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Why These Related Problems?

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