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Finding the Third Proportional to 24,124 and 50,066

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Solution

The third proportional to 24,124 and 50,066 is: 103,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124 : 50,066 = 50,066 : x
  2. Step 2: Convert to fraction form
    24,124/50,066 = 50,066/x
  3. Step 3: Cross multiply
    24,124x = 50,066 × 50,066
  4. Step 4: Simplify right side
    24,124x = 2,506,604,356
  5. Step 5: Solve for x
    x = 2,506,604,356/24,124
  6. Step 6: Final answer
    x = 103,905.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.