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Finding the Third Proportional to 39,745.69 and 59,703.75

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Solution

The third proportional to 39,745.69 and 59,703.75 is: 89,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,745.69 : 59,703.75 = 59,703.75 : x
  2. Step 2: Convert to fraction form
    39,745.69/59,703.75 = 59,703.75/x
  3. Step 3: Cross multiply
    39,745.69x = 59,703.75 × 59,703.75
  4. Step 4: Simplify right side
    39,745.69x = 3,564,537,764.06
  5. Step 5: Solve for x
    x = 3,564,537,764.06/39,745.69
  6. Step 6: Final answer
    x = 89,683.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.