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Finding the Third Proportional to 21,954 and 48,090

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Solution

The third proportional to 21,954 and 48,090 is: 105,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954 : 48,090 = 48,090 : x
  2. Step 2: Convert to fraction form
    21,954/48,090 = 48,090/x
  3. Step 3: Cross multiply
    21,954x = 48,090 × 48,090
  4. Step 4: Simplify right side
    21,954x = 2,312,648,100
  5. Step 5: Solve for x
    x = 2,312,648,100/21,954
  6. Step 6: Final answer
    x = 105,340.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.