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Finding the Third Proportional to 19,870 and 28,979

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Solution

The third proportional to 19,870 and 28,979 is: 42,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870 : 28,979 = 28,979 : x
  2. Step 2: Convert to fraction form
    19,870/28,979 = 28,979/x
  3. Step 3: Cross multiply
    19,870x = 28,979 × 28,979
  4. Step 4: Simplify right side
    19,870x = 839,782,441
  5. Step 5: Solve for x
    x = 839,782,441/19,870
  6. Step 6: Final answer
    x = 42,263.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.