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Finding the Third Proportional to 32,913 and 71,145

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Solution

The third proportional to 32,913 and 71,145 is: 153,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,913 : 71,145 = 71,145 : x
  2. Step 2: Convert to fraction form
    32,913/71,145 = 71,145/x
  3. Step 3: Cross multiply
    32,913x = 71,145 × 71,145
  4. Step 4: Simplify right side
    32,913x = 5,061,611,025
  5. Step 5: Solve for x
    x = 5,061,611,025/32,913
  6. Step 6: Final answer
    x = 153,787.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.