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Finding the Third Proportional to 15,189.19 and 31,588.31

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Solution

The third proportional to 15,189.19 and 31,588.31 is: 65,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.19 : 31,588.31 = 31,588.31 : x
  2. Step 2: Convert to fraction form
    15,189.19/31,588.31 = 31,588.31/x
  3. Step 3: Cross multiply
    15,189.19x = 31,588.31 × 31,588.31
  4. Step 4: Simplify right side
    15,189.19x = 997,821,486.60
  5. Step 5: Solve for x
    x = 997,821,486.60/15,189.19
  6. Step 6: Final answer
    x = 65,692.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.