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Finding the Third Proportional to 11,314.50 and 24,818.25

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Solution

The third proportional to 11,314.50 and 24,818.25 is: 54,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.50 : 24,818.25 = 24,818.25 : x
  2. Step 2: Convert to fraction form
    11,314.50/24,818.25 = 24,818.25/x
  3. Step 3: Cross multiply
    11,314.50x = 24,818.25 × 24,818.25
  4. Step 4: Simplify right side
    11,314.50x = 615,945,533.06
  5. Step 5: Solve for x
    x = 615,945,533.06/11,314.50
  6. Step 6: Final answer
    x = 54,438.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.