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Finding the Third Proportional to 5,865.75 and 8,953.88

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Solution

The third proportional to 5,865.75 and 8,953.88 is: 13,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.75 : 8,953.88 = 8,953.88 : x
  2. Step 2: Convert to fraction form
    5,865.75/8,953.88 = 8,953.88/x
  3. Step 3: Cross multiply
    5,865.75x = 8,953.88 × 8,953.88
  4. Step 4: Simplify right side
    5,865.75x = 80,171,877.52
  5. Step 5: Solve for x
    x = 80,171,877.52/5,865.75
  6. Step 6: Final answer
    x = 13,667.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.