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Finding the Third Proportional to 19,400.63 and 39,616.88

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Solution

The third proportional to 19,400.63 and 39,616.88 is: 80,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400.63 : 39,616.88 = 39,616.88 : x
  2. Step 2: Convert to fraction form
    19,400.63/39,616.88 = 39,616.88/x
  3. Step 3: Cross multiply
    19,400.63x = 39,616.88 × 39,616.88
  4. Step 4: Simplify right side
    19,400.63x = 1,569,496,784.77
  5. Step 5: Solve for x
    x = 1,569,496,784.77/19,400.63
  6. Step 6: Final answer
    x = 80,899.29

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.