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Finding the Third Proportional to 26,301.50 and 36,995

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Solution

The third proportional to 26,301.50 and 36,995 is: 52,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,301.50 : 36,995 = 36,995 : x
  2. Step 2: Convert to fraction form
    26,301.50/36,995 = 36,995/x
  3. Step 3: Cross multiply
    26,301.50x = 36,995 × 36,995
  4. Step 4: Simplify right side
    26,301.50x = 1,368,630,025
  5. Step 5: Solve for x
    x = 1,368,630,025/26,301.50
  6. Step 6: Final answer
    x = 52,036.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.