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Finding the Third Proportional to 19,298.25 and 42,352.88

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Solution

The third proportional to 19,298.25 and 42,352.88 is: 92,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.25 : 42,352.88 = 42,352.88 : x
  2. Step 2: Convert to fraction form
    19,298.25/42,352.88 = 42,352.88/x
  3. Step 3: Cross multiply
    19,298.25x = 42,352.88 × 42,352.88
  4. Step 4: Simplify right side
    19,298.25x = 1,793,766,020.77
  5. Step 5: Solve for x
    x = 1,793,766,020.77/19,298.25
  6. Step 6: Final answer
    x = 92,949.67

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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.