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Finding the Third Proportional to 13,115.25 and 14,458.50

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Solution

The third proportional to 13,115.25 and 14,458.50 is: 15,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.25 : 14,458.50 = 14,458.50 : x
  2. Step 2: Convert to fraction form
    13,115.25/14,458.50 = 14,458.50/x
  3. Step 3: Cross multiply
    13,115.25x = 14,458.50 × 14,458.50
  4. Step 4: Simplify right side
    13,115.25x = 209,048,222.25
  5. Step 5: Solve for x
    x = 209,048,222.25/13,115.25
  6. Step 6: Final answer
    x = 15,939.32

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.