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Finding the Third Proportional to 19,207.50 and 40,614

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Solution

The third proportional to 19,207.50 and 40,614 is: 85,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.50 : 40,614 = 40,614 : x
  2. Step 2: Convert to fraction form
    19,207.50/40,614 = 40,614/x
  3. Step 3: Cross multiply
    19,207.50x = 40,614 × 40,614
  4. Step 4: Simplify right side
    19,207.50x = 1,649,496,996
  5. Step 5: Solve for x
    x = 1,649,496,996/19,207.50
  6. Step 6: Final answer
    x = 85,877.76

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.