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Finding the Third Proportional to 32,685 and 46,027.50

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Solution

The third proportional to 32,685 and 46,027.50 is: 64,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,685 : 46,027.50 = 46,027.50 : x
  2. Step 2: Convert to fraction form
    32,685/46,027.50 = 46,027.50/x
  3. Step 3: Cross multiply
    32,685x = 46,027.50 × 46,027.50
  4. Step 4: Simplify right side
    32,685x = 2,118,530,756.25
  5. Step 5: Solve for x
    x = 2,118,530,756.25/32,685
  6. Step 6: Final answer
    x = 64,816.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.