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Finding the Third Proportional to 5,839.59 and 8,573.34

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Solution

The third proportional to 5,839.59 and 8,573.34 is: 12,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.59 : 8,573.34 = 8,573.34 : x
  2. Step 2: Convert to fraction form
    5,839.59/8,573.34 = 8,573.34/x
  3. Step 3: Cross multiply
    5,839.59x = 8,573.34 × 8,573.34
  4. Step 4: Simplify right side
    5,839.59x = 73,502,223.06
  5. Step 5: Solve for x
    x = 73,502,223.06/5,839.59
  6. Step 6: Final answer
    x = 12,586.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.