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Finding the Third Proportional to 11,407.75 and 24,460.75

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Solution

The third proportional to 11,407.75 and 24,460.75 is: 52,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.75 : 24,460.75 = 24,460.75 : x
  2. Step 2: Convert to fraction form
    11,407.75/24,460.75 = 24,460.75/x
  3. Step 3: Cross multiply
    11,407.75x = 24,460.75 × 24,460.75
  4. Step 4: Simplify right side
    11,407.75x = 598,328,290.56
  5. Step 5: Solve for x
    x = 598,328,290.56/11,407.75
  6. Step 6: Final answer
    x = 52,449.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.