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Finding the Third Proportional to 8,470.41 and 12,582.98

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Solution

The third proportional to 8,470.41 and 12,582.98 is: 18,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.41 : 12,582.98 = 12,582.98 : x
  2. Step 2: Convert to fraction form
    8,470.41/12,582.98 = 12,582.98/x
  3. Step 3: Cross multiply
    8,470.41x = 12,582.98 × 12,582.98
  4. Step 4: Simplify right side
    8,470.41x = 158,331,495.78
  5. Step 5: Solve for x
    x = 158,331,495.78/8,470.41
  6. Step 6: Final answer
    x = 18,692.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.