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Finding the Third Proportional to 19,295 and 42,283

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Solution

The third proportional to 19,295 and 42,283 is: 92,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,295 : 42,283 = 42,283 : x
  2. Step 2: Convert to fraction form
    19,295/42,283 = 42,283/x
  3. Step 3: Cross multiply
    19,295x = 42,283 × 42,283
  4. Step 4: Simplify right side
    19,295x = 1,787,852,089
  5. Step 5: Solve for x
    x = 1,787,852,089/19,295
  6. Step 6: Final answer
    x = 92,658.83

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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.