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Finding the Third Proportional to 14,974.88 and 32,584.78

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Solution

The third proportional to 14,974.88 and 32,584.78 is: 70,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.88 : 32,584.78 = 32,584.78 : x
  2. Step 2: Convert to fraction form
    14,974.88/32,584.78 = 32,584.78/x
  3. Step 3: Cross multiply
    14,974.88x = 32,584.78 × 32,584.78
  4. Step 4: Simplify right side
    14,974.88x = 1,061,767,969.11
  5. Step 5: Solve for x
    x = 1,061,767,969.11/14,974.88
  6. Step 6: Final answer
    x = 70,903.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.