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Finding the Third Proportional to 24,315 and 50,316

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Solution

The third proportional to 24,315 and 50,316 is: 104,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315 : 50,316 = 50,316 : x
  2. Step 2: Convert to fraction form
    24,315/50,316 = 50,316/x
  3. Step 3: Cross multiply
    24,315x = 50,316 × 50,316
  4. Step 4: Simplify right side
    24,315x = 2,531,699,856
  5. Step 5: Solve for x
    x = 2,531,699,856/24,315
  6. Step 6: Final answer
    x = 104,120.91

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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.