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Finding the Third Proportional to 36,946 and 55,807

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Solution

The third proportional to 36,946 and 55,807 is: 84,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946 : 55,807 = 55,807 : x
  2. Step 2: Convert to fraction form
    36,946/55,807 = 55,807/x
  3. Step 3: Cross multiply
    36,946x = 55,807 × 55,807
  4. Step 4: Simplify right side
    36,946x = 3,114,421,249
  5. Step 5: Solve for x
    x = 3,114,421,249/36,946
  6. Step 6: Final answer
    x = 84,296.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.