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Finding the Third Proportional to 15,099 and 30,399.75

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Solution

The third proportional to 15,099 and 30,399.75 is: 61,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099 : 30,399.75 = 30,399.75 : x
  2. Step 2: Convert to fraction form
    15,099/30,399.75 = 30,399.75/x
  3. Step 3: Cross multiply
    15,099x = 30,399.75 × 30,399.75
  4. Step 4: Simplify right side
    15,099x = 924,144,800.06
  5. Step 5: Solve for x
    x = 924,144,800.06/15,099
  6. Step 6: Final answer
    x = 61,205.70

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.