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Finding the Third Proportional to 25,107.19 and 34,427.53

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Solution

The third proportional to 25,107.19 and 34,427.53 is: 47,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.19 : 34,427.53 = 34,427.53 : x
  2. Step 2: Convert to fraction form
    25,107.19/34,427.53 = 34,427.53/x
  3. Step 3: Cross multiply
    25,107.19x = 34,427.53 × 34,427.53
  4. Step 4: Simplify right side
    25,107.19x = 1,185,254,907.97
  5. Step 5: Solve for x
    x = 1,185,254,907.97/25,107.19
  6. Step 6: Final answer
    x = 47,207.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.