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Finding the Third Proportional to 32,649 and 49,014

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Solution

The third proportional to 32,649 and 49,014 is: 73,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649 : 49,014 = 49,014 : x
  2. Step 2: Convert to fraction form
    32,649/49,014 = 49,014/x
  3. Step 3: Cross multiply
    32,649x = 49,014 × 49,014
  4. Step 4: Simplify right side
    32,649x = 2,402,372,196
  5. Step 5: Solve for x
    x = 2,402,372,196/32,649
  6. Step 6: Final answer
    x = 73,581.80

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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.