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Finding the Third Proportional to 24,097.50 and 50,376.94

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Solution

The third proportional to 24,097.50 and 50,376.94 is: 105,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.50 : 50,376.94 = 50,376.94 : x
  2. Step 2: Convert to fraction form
    24,097.50/50,376.94 = 50,376.94/x
  3. Step 3: Cross multiply
    24,097.50x = 50,376.94 × 50,376.94
  4. Step 4: Simplify right side
    24,097.50x = 2,537,835,831.88
  5. Step 5: Solve for x
    x = 2,537,835,831.88/24,097.50
  6. Step 6: Final answer
    x = 105,315.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.