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Finding the Third Proportional to 19,502.63 and 39,928.13

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Solution

The third proportional to 19,502.63 and 39,928.13 is: 81,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.63 : 39,928.13 = 39,928.13 : x
  2. Step 2: Convert to fraction form
    19,502.63/39,928.13 = 39,928.13/x
  3. Step 3: Cross multiply
    19,502.63x = 39,928.13 × 39,928.13
  4. Step 4: Simplify right side
    19,502.63x = 1,594,255,166.02
  5. Step 5: Solve for x
    x = 1,594,255,166.02/19,502.63
  6. Step 6: Final answer
    x = 81,745.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.