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Finding the Third Proportional to 23,784 and 56,246

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Solution

The third proportional to 23,784 and 56,246 is: 133,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784 : 56,246 = 56,246 : x
  2. Step 2: Convert to fraction form
    23,784/56,246 = 56,246/x
  3. Step 3: Cross multiply
    23,784x = 56,246 × 56,246
  4. Step 4: Simplify right side
    23,784x = 3,163,612,516
  5. Step 5: Solve for x
    x = 3,163,612,516/23,784
  6. Step 6: Final answer
    x = 133,014.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.