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Finding the Third Proportional to 5,889 and 14,191.50

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Solution

The third proportional to 5,889 and 14,191.50 is: 34,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889 : 14,191.50 = 14,191.50 : x
  2. Step 2: Convert to fraction form
    5,889/14,191.50 = 14,191.50/x
  3. Step 3: Cross multiply
    5,889x = 14,191.50 × 14,191.50
  4. Step 4: Simplify right side
    5,889x = 201,398,672.25
  5. Step 5: Solve for x
    x = 201,398,672.25/5,889
  6. Step 6: Final answer
    x = 34,199.13

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.