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Finding the Third Proportional to 11,574.98 and 24,905.39

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Solution

The third proportional to 11,574.98 and 24,905.39 is: 53,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.98 : 24,905.39 = 24,905.39 : x
  2. Step 2: Convert to fraction form
    11,574.98/24,905.39 = 24,905.39/x
  3. Step 3: Cross multiply
    11,574.98x = 24,905.39 × 24,905.39
  4. Step 4: Simplify right side
    11,574.98x = 620,278,482.18
  5. Step 5: Solve for x
    x = 620,278,482.18/11,574.98
  6. Step 6: Final answer
    x = 53,587.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.