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Finding the Third Proportional to 22,309 and 48,505

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Solution

The third proportional to 22,309 and 48,505 is: 105,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309 : 48,505 = 48,505 : x
  2. Step 2: Convert to fraction form
    22,309/48,505 = 48,505/x
  3. Step 3: Cross multiply
    22,309x = 48,505 × 48,505
  4. Step 4: Simplify right side
    22,309x = 2,352,735,025
  5. Step 5: Solve for x
    x = 2,352,735,025/22,309
  6. Step 6: Final answer
    x = 105,461.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.