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Finding the Third Proportional to 36,886 and 56,773

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Solution

The third proportional to 36,886 and 56,773 is: 87,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,886 : 56,773 = 56,773 : x
  2. Step 2: Convert to fraction form
    36,886/56,773 = 56,773/x
  3. Step 3: Cross multiply
    36,886x = 56,773 × 56,773
  4. Step 4: Simplify right side
    36,886x = 3,223,173,529
  5. Step 5: Solve for x
    x = 3,223,173,529/36,886
  6. Step 6: Final answer
    x = 87,382.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.