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Finding the Third Proportional to 24,315 and 50,315

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Solution

The third proportional to 24,315 and 50,315 is: 104,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315 : 50,315 = 50,315 : x
  2. Step 2: Convert to fraction form
    24,315/50,315 = 50,315/x
  3. Step 3: Cross multiply
    24,315x = 50,315 × 50,315
  4. Step 4: Simplify right side
    24,315x = 2,531,599,225
  5. Step 5: Solve for x
    x = 2,531,599,225/24,315
  6. Step 6: Final answer
    x = 104,116.77

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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.