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Finding the Third Proportional to 26,562 and 39,783

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Solution

The third proportional to 26,562 and 39,783 is: 59,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,562 : 39,783 = 39,783 : x
  2. Step 2: Convert to fraction form
    26,562/39,783 = 39,783/x
  3. Step 3: Cross multiply
    26,562x = 39,783 × 39,783
  4. Step 4: Simplify right side
    26,562x = 1,582,687,089
  5. Step 5: Solve for x
    x = 1,582,687,089/26,562
  6. Step 6: Final answer
    x = 59,584.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.