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Finding the Third Proportional to 34,603.25 and 53,438.38

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Solution

The third proportional to 34,603.25 and 53,438.38 is: 82,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.25 : 53,438.38 = 53,438.38 : x
  2. Step 2: Convert to fraction form
    34,603.25/53,438.38 = 53,438.38/x
  3. Step 3: Cross multiply
    34,603.25x = 53,438.38 × 53,438.38
  4. Step 4: Simplify right side
    34,603.25x = 2,855,659,922.64
  5. Step 5: Solve for x
    x = 2,855,659,922.64/34,603.25
  6. Step 6: Final answer
    x = 82,525.77

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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.