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Finding the Third Proportional to 26,106 and 39,045

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Solution

The third proportional to 26,106 and 39,045 is: 58,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106 : 39,045 = 39,045 : x
  2. Step 2: Convert to fraction form
    26,106/39,045 = 39,045/x
  3. Step 3: Cross multiply
    26,106x = 39,045 × 39,045
  4. Step 4: Simplify right side
    26,106x = 1,524,512,025
  5. Step 5: Solve for x
    x = 1,524,512,025/26,106
  6. Step 6: Final answer
    x = 58,397.00

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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.