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Finding the Third Proportional to 24,702.75 and 54,932.06

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Solution

The third proportional to 24,702.75 and 54,932.06 is: 122,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.75 : 54,932.06 = 54,932.06 : x
  2. Step 2: Convert to fraction form
    24,702.75/54,932.06 = 54,932.06/x
  3. Step 3: Cross multiply
    24,702.75x = 54,932.06 × 54,932.06
  4. Step 4: Simplify right side
    24,702.75x = 3,017,531,490.50
  5. Step 5: Solve for x
    x = 3,017,531,490.50/24,702.75
  6. Step 6: Final answer
    x = 122,153.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.