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Finding the Third Proportional to 38,706.77 and 56,566.56

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Solution

The third proportional to 38,706.77 and 56,566.56 is: 82,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.77 : 56,566.56 = 56,566.56 : x
  2. Step 2: Convert to fraction form
    38,706.77/56,566.56 = 56,566.56/x
  3. Step 3: Cross multiply
    38,706.77x = 56,566.56 × 56,566.56
  4. Step 4: Simplify right side
    38,706.77x = 3,199,775,219.70
  5. Step 5: Solve for x
    x = 3,199,775,219.70/38,706.77
  6. Step 6: Final answer
    x = 82,667.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.