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Finding the Third Proportional to 20,541.75 and 29,354.25

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Solution

The third proportional to 20,541.75 and 29,354.25 is: 41,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.75 : 29,354.25 = 29,354.25 : x
  2. Step 2: Convert to fraction form
    20,541.75/29,354.25 = 29,354.25/x
  3. Step 3: Cross multiply
    20,541.75x = 29,354.25 × 29,354.25
  4. Step 4: Simplify right side
    20,541.75x = 861,671,993.06
  5. Step 5: Solve for x
    x = 861,671,993.06/20,541.75
  6. Step 6: Final answer
    x = 41,947.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.