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Finding the Third Proportional to 19,309 and 42,309.50

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Solution

The third proportional to 19,309 and 42,309.50 is: 92,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309 : 42,309.50 = 42,309.50 : x
  2. Step 2: Convert to fraction form
    19,309/42,309.50 = 42,309.50/x
  3. Step 3: Cross multiply
    19,309x = 42,309.50 × 42,309.50
  4. Step 4: Simplify right side
    19,309x = 1,790,093,790.25
  5. Step 5: Solve for x
    x = 1,790,093,790.25/19,309
  6. Step 6: Final answer
    x = 92,707.74

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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.