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Finding the Third Proportional to 19,604 and 42,733

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Solution

The third proportional to 19,604 and 42,733 is: 93,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604 : 42,733 = 42,733 : x
  2. Step 2: Convert to fraction form
    19,604/42,733 = 42,733/x
  3. Step 3: Cross multiply
    19,604x = 42,733 × 42,733
  4. Step 4: Simplify right side
    19,604x = 1,826,109,289
  5. Step 5: Solve for x
    x = 1,826,109,289/19,604
  6. Step 6: Final answer
    x = 93,149.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.