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Finding the Third Proportional to 36,853.88 and 56,651.06

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Solution

The third proportional to 36,853.88 and 56,651.06 is: 87,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,853.88 : 56,651.06 = 56,651.06 : x
  2. Step 2: Convert to fraction form
    36,853.88/56,651.06 = 56,651.06/x
  3. Step 3: Cross multiply
    36,853.88x = 56,651.06 × 56,651.06
  4. Step 4: Simplify right side
    36,853.88x = 3,209,342,882.38
  5. Step 5: Solve for x
    x = 3,209,342,882.38/36,853.88
  6. Step 6: Final answer
    x = 87,082.92

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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.