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Finding the Third Proportional to 19,852 and 42,582

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Solution

The third proportional to 19,852 and 42,582 is: 91,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852 : 42,582 = 42,582 : x
  2. Step 2: Convert to fraction form
    19,852/42,582 = 42,582/x
  3. Step 3: Cross multiply
    19,852x = 42,582 × 42,582
  4. Step 4: Simplify right side
    19,852x = 1,813,226,724
  5. Step 5: Solve for x
    x = 1,813,226,724/19,852
  6. Step 6: Final answer
    x = 91,337.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.