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Finding the Third Proportional to 26,787 and 56,583

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Solution

The third proportional to 26,787 and 56,583 is: 119,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,787 : 56,583 = 56,583 : x
  2. Step 2: Convert to fraction form
    26,787/56,583 = 56,583/x
  3. Step 3: Cross multiply
    26,787x = 56,583 × 56,583
  4. Step 4: Simplify right side
    26,787x = 3,201,635,889
  5. Step 5: Solve for x
    x = 3,201,635,889/26,787
  6. Step 6: Final answer
    x = 119,522.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.