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Finding the Third Proportional to 19,047 and 44,512.50

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Solution

The third proportional to 19,047 and 44,512.50 is: 104,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,047 : 44,512.50 = 44,512.50 : x
  2. Step 2: Convert to fraction form
    19,047/44,512.50 = 44,512.50/x
  3. Step 3: Cross multiply
    19,047x = 44,512.50 × 44,512.50
  4. Step 4: Simplify right side
    19,047x = 1,981,362,656.25
  5. Step 5: Solve for x
    x = 1,981,362,656.25/19,047
  6. Step 6: Final answer
    x = 104,024.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.