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Finding the Third Proportional to 19,357 and 42,237

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Solution

The third proportional to 19,357 and 42,237 is: 92,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357 : 42,237 = 42,237 : x
  2. Step 2: Convert to fraction form
    19,357/42,237 = 42,237/x
  3. Step 3: Cross multiply
    19,357x = 42,237 × 42,237
  4. Step 4: Simplify right side
    19,357x = 1,783,964,169
  5. Step 5: Solve for x
    x = 1,783,964,169/19,357
  6. Step 6: Final answer
    x = 92,161.19

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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.