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Finding the Third Proportional to 19,120.75 and 44,986.50

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Solution

The third proportional to 19,120.75 and 44,986.50 is: 105,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120.75 : 44,986.50 = 44,986.50 : x
  2. Step 2: Convert to fraction form
    19,120.75/44,986.50 = 44,986.50/x
  3. Step 3: Cross multiply
    19,120.75x = 44,986.50 × 44,986.50
  4. Step 4: Simplify right side
    19,120.75x = 2,023,785,182.25
  5. Step 5: Solve for x
    x = 2,023,785,182.25/19,120.75
  6. Step 6: Final answer
    x = 105,842.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.