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Finding the Third Proportional to 26,582 and 40,805

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Solution

The third proportional to 26,582 and 40,805 is: 62,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582 : 40,805 = 40,805 : x
  2. Step 2: Convert to fraction form
    26,582/40,805 = 40,805/x
  3. Step 3: Cross multiply
    26,582x = 40,805 × 40,805
  4. Step 4: Simplify right side
    26,582x = 1,665,048,025
  5. Step 5: Solve for x
    x = 1,665,048,025/26,582
  6. Step 6: Final answer
    x = 62,638.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.