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Finding the Third Proportional to 19,438 and 30,559

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Solution

The third proportional to 19,438 and 30,559 is: 48,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438 : 30,559 = 30,559 : x
  2. Step 2: Convert to fraction form
    19,438/30,559 = 30,559/x
  3. Step 3: Cross multiply
    19,438x = 30,559 × 30,559
  4. Step 4: Simplify right side
    19,438x = 933,852,481
  5. Step 5: Solve for x
    x = 933,852,481/19,438
  6. Step 6: Final answer
    x = 48,042.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.