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Finding the Third Proportional to 22,968 and 48,669

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Solution

The third proportional to 22,968 and 48,669 is: 103,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968 : 48,669 = 48,669 : x
  2. Step 2: Convert to fraction form
    22,968/48,669 = 48,669/x
  3. Step 3: Cross multiply
    22,968x = 48,669 × 48,669
  4. Step 4: Simplify right side
    22,968x = 2,368,671,561
  5. Step 5: Solve for x
    x = 2,368,671,561/22,968
  6. Step 6: Final answer
    x = 103,129.20

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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.