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Finding the Third Proportional to 22,798 and 36,069

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Solution

The third proportional to 22,798 and 36,069 is: 57,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798 : 36,069 = 36,069 : x
  2. Step 2: Convert to fraction form
    22,798/36,069 = 36,069/x
  3. Step 3: Cross multiply
    22,798x = 36,069 × 36,069
  4. Step 4: Simplify right side
    22,798x = 1,300,972,761
  5. Step 5: Solve for x
    x = 1,300,972,761/22,798
  6. Step 6: Final answer
    x = 57,065.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.