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Finding the Third Proportional to 41,429 and 98,784

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Solution

The third proportional to 41,429 and 98,784 is: 235,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,429 : 98,784 = 98,784 : x
  2. Step 2: Convert to fraction form
    41,429/98,784 = 98,784/x
  3. Step 3: Cross multiply
    41,429x = 98,784 × 98,784
  4. Step 4: Simplify right side
    41,429x = 9,758,278,656
  5. Step 5: Solve for x
    x = 9,758,278,656/41,429
  6. Step 6: Final answer
    x = 235,542.22

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.