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Finding the Third Proportional to 20,784 and 50,316

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Solution

The third proportional to 20,784 and 50,316 is: 121,810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 50,316 = 50,316 : x
  2. Step 2: Convert to fraction form
    20,784/50,316 = 50,316/x
  3. Step 3: Cross multiply
    20,784x = 50,316 × 50,316
  4. Step 4: Simplify right side
    20,784x = 2,531,699,856
  5. Step 5: Solve for x
    x = 2,531,699,856/20,784
  6. Step 6: Final answer
    x = 121,810.04

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.