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Finding the Third Proportional to 32,788 and 70,252

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Solution

The third proportional to 32,788 and 70,252 is: 150,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,788 : 70,252 = 70,252 : x
  2. Step 2: Convert to fraction form
    32,788/70,252 = 70,252/x
  3. Step 3: Cross multiply
    32,788x = 70,252 × 70,252
  4. Step 4: Simplify right side
    32,788x = 4,935,343,504
  5. Step 5: Solve for x
    x = 4,935,343,504/32,788
  6. Step 6: Final answer
    x = 150,522.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.