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Finding the Third Proportional to 30,186 and 43,090.50

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Solution

The third proportional to 30,186 and 43,090.50 is: 61,511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186 : 43,090.50 = 43,090.50 : x
  2. Step 2: Convert to fraction form
    30,186/43,090.50 = 43,090.50/x
  3. Step 3: Cross multiply
    30,186x = 43,090.50 × 43,090.50
  4. Step 4: Simplify right side
    30,186x = 1,856,791,190.25
  5. Step 5: Solve for x
    x = 1,856,791,190.25/30,186
  6. Step 6: Final answer
    x = 61,511.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.