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Finding the Third Proportional to 24,653.63 and 54,000.25

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Solution

The third proportional to 24,653.63 and 54,000.25 is: 118,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653.63 : 54,000.25 = 54,000.25 : x
  2. Step 2: Convert to fraction form
    24,653.63/54,000.25 = 54,000.25/x
  3. Step 3: Cross multiply
    24,653.63x = 54,000.25 × 54,000.25
  4. Step 4: Simplify right side
    24,653.63x = 2,916,027,000.06
  5. Step 5: Solve for x
    x = 2,916,027,000.06/24,653.63
  6. Step 6: Final answer
    x = 118,279.85

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