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Finding the Third Proportional to 36,056 and 52,990

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Solution

The third proportional to 36,056 and 52,990 is: 77,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,056 : 52,990 = 52,990 : x
  2. Step 2: Convert to fraction form
    36,056/52,990 = 52,990/x
  3. Step 3: Cross multiply
    36,056x = 52,990 × 52,990
  4. Step 4: Simplify right side
    36,056x = 2,807,940,100
  5. Step 5: Solve for x
    x = 2,807,940,100/36,056
  6. Step 6: Final answer
    x = 77,877.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.