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Finding the Third Proportional to 13,928.63 and 32,848.88

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Solution

The third proportional to 13,928.63 and 32,848.88 is: 77,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.63 : 32,848.88 = 32,848.88 : x
  2. Step 2: Convert to fraction form
    13,928.63/32,848.88 = 32,848.88/x
  3. Step 3: Cross multiply
    13,928.63x = 32,848.88 × 32,848.88
  4. Step 4: Simplify right side
    13,928.63x = 1,079,048,588.77
  5. Step 5: Solve for x
    x = 1,079,048,588.77/13,928.63
  6. Step 6: Final answer
    x = 77,469.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.