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Finding the Third Proportional to 8,632.83 and 12,374.02

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Solution

The third proportional to 8,632.83 and 12,374.02 is: 17,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.83 : 12,374.02 = 12,374.02 : x
  2. Step 2: Convert to fraction form
    8,632.83/12,374.02 = 12,374.02/x
  3. Step 3: Cross multiply
    8,632.83x = 12,374.02 × 12,374.02
  4. Step 4: Simplify right side
    8,632.83x = 153,116,262.69
  5. Step 5: Solve for x
    x = 153,116,262.69/8,632.83
  6. Step 6: Final answer
    x = 17,736.51

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.