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Finding the Third Proportional to 32,895 and 70,168.50

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Solution

The third proportional to 32,895 and 70,168.50 is: 149,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895 : 70,168.50 = 70,168.50 : x
  2. Step 2: Convert to fraction form
    32,895/70,168.50 = 70,168.50/x
  3. Step 3: Cross multiply
    32,895x = 70,168.50 × 70,168.50
  4. Step 4: Simplify right side
    32,895x = 4,923,618,392.25
  5. Step 5: Solve for x
    x = 4,923,618,392.25/32,895
  6. Step 6: Final answer
    x = 149,676.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.