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Finding the Third Proportional to 13,554.75 and 32,646.75

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Solution

The third proportional to 13,554.75 and 32,646.75 is: 78,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.75 : 32,646.75 = 32,646.75 : x
  2. Step 2: Convert to fraction form
    13,554.75/32,646.75 = 32,646.75/x
  3. Step 3: Cross multiply
    13,554.75x = 32,646.75 × 32,646.75
  4. Step 4: Simplify right side
    13,554.75x = 1,065,810,285.56
  5. Step 5: Solve for x
    x = 1,065,810,285.56/13,554.75
  6. Step 6: Final answer
    x = 78,630.02

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.