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Finding the Third Proportional to 49,026 and 69,038

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Solution

The third proportional to 49,026 and 69,038 is: 97,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,026 : 69,038 = 69,038 : x
  2. Step 2: Convert to fraction form
    49,026/69,038 = 69,038/x
  3. Step 3: Cross multiply
    49,026x = 69,038 × 69,038
  4. Step 4: Simplify right side
    49,026x = 4,766,245,444
  5. Step 5: Solve for x
    x = 4,766,245,444/49,026
  6. Step 6: Final answer
    x = 97,218.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.