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Finding the Third Proportional to 24,604 and 50,959

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Solution

The third proportional to 24,604 and 50,959 is: 105,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604 : 50,959 = 50,959 : x
  2. Step 2: Convert to fraction form
    24,604/50,959 = 50,959/x
  3. Step 3: Cross multiply
    24,604x = 50,959 × 50,959
  4. Step 4: Simplify right side
    24,604x = 2,596,819,681
  5. Step 5: Solve for x
    x = 2,596,819,681/24,604
  6. Step 6: Final answer
    x = 105,544.61

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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.