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Finding the Third Proportional to 19,830 and 44,034

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Solution

The third proportional to 19,830 and 44,034 is: 97,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830 : 44,034 = 44,034 : x
  2. Step 2: Convert to fraction form
    19,830/44,034 = 44,034/x
  3. Step 3: Cross multiply
    19,830x = 44,034 × 44,034
  4. Step 4: Simplify right side
    19,830x = 1,938,993,156
  5. Step 5: Solve for x
    x = 1,938,993,156/19,830
  6. Step 6: Final answer
    x = 97,780.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.