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Finding the Third Proportional to 19,775 and 42,969.88

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Solution

The third proportional to 19,775 and 42,969.88 is: 93,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775 : 42,969.88 = 42,969.88 : x
  2. Step 2: Convert to fraction form
    19,775/42,969.88 = 42,969.88/x
  3. Step 3: Cross multiply
    19,775x = 42,969.88 × 42,969.88
  4. Step 4: Simplify right side
    19,775x = 1,846,410,157.52
  5. Step 5: Solve for x
    x = 1,846,410,157.52/19,775
  6. Step 6: Final answer
    x = 93,370.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.