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Finding the Third Proportional to 26,582 and 42,305

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Solution

The third proportional to 26,582 and 42,305 is: 67,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582 : 42,305 = 42,305 : x
  2. Step 2: Convert to fraction form
    26,582/42,305 = 42,305/x
  3. Step 3: Cross multiply
    26,582x = 42,305 × 42,305
  4. Step 4: Simplify right side
    26,582x = 1,789,713,025
  5. Step 5: Solve for x
    x = 1,789,713,025/26,582
  6. Step 6: Final answer
    x = 67,328.00

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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.