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Finding the Third Proportional to 19,539 and 42,804

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Solution

The third proportional to 19,539 and 42,804 is: 93,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539 : 42,804 = 42,804 : x
  2. Step 2: Convert to fraction form
    19,539/42,804 = 42,804/x
  3. Step 3: Cross multiply
    19,539x = 42,804 × 42,804
  4. Step 4: Simplify right side
    19,539x = 1,832,182,416
  5. Step 5: Solve for x
    x = 1,832,182,416/19,539
  6. Step 6: Final answer
    x = 93,770.53

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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.