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Finding the Third Proportional to 36,703 and 56,713.50

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Solution

The third proportional to 36,703 and 56,713.50 is: 87,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,703 : 56,713.50 = 56,713.50 : x
  2. Step 2: Convert to fraction form
    36,703/56,713.50 = 56,713.50/x
  3. Step 3: Cross multiply
    36,703x = 56,713.50 × 56,713.50
  4. Step 4: Simplify right side
    36,703x = 3,216,421,082.25
  5. Step 5: Solve for x
    x = 3,216,421,082.25/36,703
  6. Step 6: Final answer
    x = 87,633.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.