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Finding the Third Proportional to 11,412.75 and 12,506.25

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Solution

The third proportional to 11,412.75 and 12,506.25 is: 13,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.75 : 12,506.25 = 12,506.25 : x
  2. Step 2: Convert to fraction form
    11,412.75/12,506.25 = 12,506.25/x
  3. Step 3: Cross multiply
    11,412.75x = 12,506.25 × 12,506.25
  4. Step 4: Simplify right side
    11,412.75x = 156,406,289.06
  5. Step 5: Solve for x
    x = 156,406,289.06/11,412.75
  6. Step 6: Final answer
    x = 13,704.52

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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.