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Finding the Third Proportional to 5,899.50 and 14,114.25

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Solution

The third proportional to 5,899.50 and 14,114.25 is: 33,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.50 : 14,114.25 = 14,114.25 : x
  2. Step 2: Convert to fraction form
    5,899.50/14,114.25 = 14,114.25/x
  3. Step 3: Cross multiply
    5,899.50x = 14,114.25 × 14,114.25
  4. Step 4: Simplify right side
    5,899.50x = 199,212,053.06
  5. Step 5: Solve for x
    x = 199,212,053.06/5,899.50
  6. Step 6: Final answer
    x = 33,767.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.