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Finding the Third Proportional to 19,458 and 42,804

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Solution

The third proportional to 19,458 and 42,804 is: 94,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458 : 42,804 = 42,804 : x
  2. Step 2: Convert to fraction form
    19,458/42,804 = 42,804/x
  3. Step 3: Cross multiply
    19,458x = 42,804 × 42,804
  4. Step 4: Simplify right side
    19,458x = 1,832,182,416
  5. Step 5: Solve for x
    x = 1,832,182,416/19,458
  6. Step 6: Final answer
    x = 94,160.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.