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Finding the Third Proportional to 19,594 and 42,469

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Solution

The third proportional to 19,594 and 42,469 is: 92,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594 : 42,469 = 42,469 : x
  2. Step 2: Convert to fraction form
    19,594/42,469 = 42,469/x
  3. Step 3: Cross multiply
    19,594x = 42,469 × 42,469
  4. Step 4: Simplify right side
    19,594x = 1,803,615,961
  5. Step 5: Solve for x
    x = 1,803,615,961/19,594
  6. Step 6: Final answer
    x = 92,049.40

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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.