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Finding the Third Proportional to 32,138.44 and 70,505.44

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Solution

The third proportional to 32,138.44 and 70,505.44 is: 154,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.44 : 70,505.44 = 70,505.44 : x
  2. Step 2: Convert to fraction form
    32,138.44/70,505.44 = 70,505.44/x
  3. Step 3: Cross multiply
    32,138.44x = 70,505.44 × 70,505.44
  4. Step 4: Simplify right side
    32,138.44x = 4,971,016,717.07
  5. Step 5: Solve for x
    x = 4,971,016,717.07/32,138.44
  6. Step 6: Final answer
    x = 154,675.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.