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Finding the Third Proportional to 36,747 and 56,777.63

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Solution

The third proportional to 36,747 and 56,777.63 is: 87,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,747 : 56,777.63 = 56,777.63 : x
  2. Step 2: Convert to fraction form
    36,747/56,777.63 = 56,777.63/x
  3. Step 3: Cross multiply
    36,747x = 56,777.63 × 56,777.63
  4. Step 4: Simplify right side
    36,747x = 3,223,698,700.64
  5. Step 5: Solve for x
    x = 3,223,698,700.64/36,747
  6. Step 6: Final answer
    x = 87,726.85

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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.