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Finding the Third Proportional to 26,363.25 and 42,030

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Solution

The third proportional to 26,363.25 and 42,030 is: 67,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,363.25 : 42,030 = 42,030 : x
  2. Step 2: Convert to fraction form
    26,363.25/42,030 = 42,030/x
  3. Step 3: Cross multiply
    26,363.25x = 42,030 × 42,030
  4. Step 4: Simplify right side
    26,363.25x = 1,766,520,900
  5. Step 5: Solve for x
    x = 1,766,520,900/26,363.25
  6. Step 6: Final answer
    x = 67,006.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.