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Finding the Third Proportional to 24,602 and 50,955

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Solution

The third proportional to 24,602 and 50,955 is: 105,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602 : 50,955 = 50,955 : x
  2. Step 2: Convert to fraction form
    24,602/50,955 = 50,955/x
  3. Step 3: Cross multiply
    24,602x = 50,955 × 50,955
  4. Step 4: Simplify right side
    24,602x = 2,596,412,025
  5. Step 5: Solve for x
    x = 2,596,412,025/24,602
  6. Step 6: Final answer
    x = 105,536.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.