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Finding the Third Proportional to 24,955 and 54,695

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Solution

The third proportional to 24,955 and 54,695 is: 119,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955 : 54,695 = 54,695 : x
  2. Step 2: Convert to fraction form
    24,955/54,695 = 54,695/x
  3. Step 3: Cross multiply
    24,955x = 54,695 × 54,695
  4. Step 4: Simplify right side
    24,955x = 2,991,543,025
  5. Step 5: Solve for x
    x = 2,991,543,025/24,955
  6. Step 6: Final answer
    x = 119,877.50

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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.