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Finding the Third Proportional to 37,102 and 56,883

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Solution

The third proportional to 37,102 and 56,883 is: 87,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102 : 56,883 = 56,883 : x
  2. Step 2: Convert to fraction form
    37,102/56,883 = 56,883/x
  3. Step 3: Cross multiply
    37,102x = 56,883 × 56,883
  4. Step 4: Simplify right side
    37,102x = 3,235,675,689
  5. Step 5: Solve for x
    x = 3,235,675,689/37,102
  6. Step 6: Final answer
    x = 87,210.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.