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Finding the Third Proportional to 25,955.25 and 40,082.25

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Solution

The third proportional to 25,955.25 and 40,082.25 is: 61,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,955.25 : 40,082.25 = 40,082.25 : x
  2. Step 2: Convert to fraction form
    25,955.25/40,082.25 = 40,082.25/x
  3. Step 3: Cross multiply
    25,955.25x = 40,082.25 × 40,082.25
  4. Step 4: Simplify right side
    25,955.25x = 1,606,586,765.06
  5. Step 5: Solve for x
    x = 1,606,586,765.06/25,955.25
  6. Step 6: Final answer
    x = 61,898.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.