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Finding the Third Proportional to 42,734.25 and 51,954.75

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Solution

The third proportional to 42,734.25 and 51,954.75 is: 63,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,734.25 : 51,954.75 = 51,954.75 : x
  2. Step 2: Convert to fraction form
    42,734.25/51,954.75 = 51,954.75/x
  3. Step 3: Cross multiply
    42,734.25x = 51,954.75 × 51,954.75
  4. Step 4: Simplify right side
    42,734.25x = 2,699,296,047.56
  5. Step 5: Solve for x
    x = 2,699,296,047.56/42,734.25
  6. Step 6: Final answer
    x = 63,164.70

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.