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Finding the Third Proportional to 23,400 and 43,420.50

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Solution

The third proportional to 23,400 and 43,420.50 is: 80,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 43,420.50 = 43,420.50 : x
  2. Step 2: Convert to fraction form
    23,400/43,420.50 = 43,420.50/x
  3. Step 3: Cross multiply
    23,400x = 43,420.50 × 43,420.50
  4. Step 4: Simplify right side
    23,400x = 1,885,339,820.25
  5. Step 5: Solve for x
    x = 1,885,339,820.25/23,400
  6. Step 6: Final answer
    x = 80,570.08

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.