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Finding the Third Proportional to 19,352 and 44,807

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Solution

The third proportional to 19,352 and 44,807 is: 103,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,352 : 44,807 = 44,807 : x
  2. Step 2: Convert to fraction form
    19,352/44,807 = 44,807/x
  3. Step 3: Cross multiply
    19,352x = 44,807 × 44,807
  4. Step 4: Simplify right side
    19,352x = 2,007,667,249
  5. Step 5: Solve for x
    x = 2,007,667,249/19,352
  6. Step 6: Final answer
    x = 103,744.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.