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Finding the Third Proportional to 19,713 and 42,342

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Solution

The third proportional to 19,713 and 42,342 is: 90,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713 : 42,342 = 42,342 : x
  2. Step 2: Convert to fraction form
    19,713/42,342 = 42,342/x
  3. Step 3: Cross multiply
    19,713x = 42,342 × 42,342
  4. Step 4: Simplify right side
    19,713x = 1,792,844,964
  5. Step 5: Solve for x
    x = 1,792,844,964/19,713
  6. Step 6: Final answer
    x = 90,947.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.