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Finding the Third Proportional to 19,615.50 and 42,975

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Solution

The third proportional to 19,615.50 and 42,975 is: 94,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.50 : 42,975 = 42,975 : x
  2. Step 2: Convert to fraction form
    19,615.50/42,975 = 42,975/x
  3. Step 3: Cross multiply
    19,615.50x = 42,975 × 42,975
  4. Step 4: Simplify right side
    19,615.50x = 1,846,850,625
  5. Step 5: Solve for x
    x = 1,846,850,625/19,615.50
  6. Step 6: Final answer
    x = 94,152.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.