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Finding the Third Proportional to 24,688 and 51,392

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Solution

The third proportional to 24,688 and 51,392 is: 106,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688 : 51,392 = 51,392 : x
  2. Step 2: Convert to fraction form
    24,688/51,392 = 51,392/x
  3. Step 3: Cross multiply
    24,688x = 51,392 × 51,392
  4. Step 4: Simplify right side
    24,688x = 2,641,137,664
  5. Step 5: Solve for x
    x = 2,641,137,664/24,688
  6. Step 6: Final answer
    x = 106,980.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.