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Finding the Third Proportional to 22,970 and 48,673

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Solution

The third proportional to 22,970 and 48,673 is: 103,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970 : 48,673 = 48,673 : x
  2. Step 2: Convert to fraction form
    22,970/48,673 = 48,673/x
  3. Step 3: Cross multiply
    22,970x = 48,673 × 48,673
  4. Step 4: Simplify right side
    22,970x = 2,369,060,929
  5. Step 5: Solve for x
    x = 2,369,060,929/22,970
  6. Step 6: Final answer
    x = 103,137.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.