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Finding the Third Proportional to 20,541 and 45,090

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Solution

The third proportional to 20,541 and 45,090 is: 98,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541 : 45,090 = 45,090 : x
  2. Step 2: Convert to fraction form
    20,541/45,090 = 45,090/x
  3. Step 3: Cross multiply
    20,541x = 45,090 × 45,090
  4. Step 4: Simplify right side
    20,541x = 2,033,108,100
  5. Step 5: Solve for x
    x = 2,033,108,100/20,541
  6. Step 6: Final answer
    x = 98,978.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.