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Finding the Third Proportional to 19,454 and 42,692

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Solution

The third proportional to 19,454 and 42,692 is: 93,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454 : 42,692 = 42,692 : x
  2. Step 2: Convert to fraction form
    19,454/42,692 = 42,692/x
  3. Step 3: Cross multiply
    19,454x = 42,692 × 42,692
  4. Step 4: Simplify right side
    19,454x = 1,822,606,864
  5. Step 5: Solve for x
    x = 1,822,606,864/19,454
  6. Step 6: Final answer
    x = 93,688.03

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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.