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Finding the Third Proportional to 29,765.75 and 40,535.25

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Solution

The third proportional to 29,765.75 and 40,535.25 is: 55,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.75 : 40,535.25 = 40,535.25 : x
  2. Step 2: Convert to fraction form
    29,765.75/40,535.25 = 40,535.25/x
  3. Step 3: Cross multiply
    29,765.75x = 40,535.25 × 40,535.25
  4. Step 4: Simplify right side
    29,765.75x = 1,643,106,492.56
  5. Step 5: Solve for x
    x = 1,643,106,492.56/29,765.75
  6. Step 6: Final answer
    x = 55,201.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.