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Finding the Third Proportional to 19,700 and 44,912

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Solution

The third proportional to 19,700 and 44,912 is: 102,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700 : 44,912 = 44,912 : x
  2. Step 2: Convert to fraction form
    19,700/44,912 = 44,912/x
  3. Step 3: Cross multiply
    19,700x = 44,912 × 44,912
  4. Step 4: Simplify right side
    19,700x = 2,017,087,744
  5. Step 5: Solve for x
    x = 2,017,087,744/19,700
  6. Step 6: Final answer
    x = 102,390.24

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.