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Finding the Third Proportional to 8,641.69 and 19,708.31

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Solution

The third proportional to 8,641.69 and 19,708.31 is: 44,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.69 : 19,708.31 = 19,708.31 : x
  2. Step 2: Convert to fraction form
    8,641.69/19,708.31 = 19,708.31/x
  3. Step 3: Cross multiply
    8,641.69x = 19,708.31 × 19,708.31
  4. Step 4: Simplify right side
    8,641.69x = 388,417,581.60
  5. Step 5: Solve for x
    x = 388,417,581.60/8,641.69
  6. Step 6: Final answer
    x = 44,946.96

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.