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Finding the Third Proportional to 8,964.50 and 13,158.75

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Solution

The third proportional to 8,964.50 and 13,158.75 is: 19,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.50 : 13,158.75 = 13,158.75 : x
  2. Step 2: Convert to fraction form
    8,964.50/13,158.75 = 13,158.75/x
  3. Step 3: Cross multiply
    8,964.50x = 13,158.75 × 13,158.75
  4. Step 4: Simplify right side
    8,964.50x = 173,152,701.56
  5. Step 5: Solve for x
    x = 173,152,701.56/8,964.50
  6. Step 6: Final answer
    x = 19,315.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.