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Finding the Third Proportional to 24,294 and 50,784

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Solution

The third proportional to 24,294 and 50,784 is: 106,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 50,784 = 50,784 : x
  2. Step 2: Convert to fraction form
    24,294/50,784 = 50,784/x
  3. Step 3: Cross multiply
    24,294x = 50,784 × 50,784
  4. Step 4: Simplify right side
    24,294x = 2,579,014,656
  5. Step 5: Solve for x
    x = 2,579,014,656/24,294
  6. Step 6: Final answer
    x = 106,158.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.