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Finding the Third Proportional to 32,477 and 70,135

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Solution

The third proportional to 32,477 and 70,135 is: 151,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477 : 70,135 = 70,135 : x
  2. Step 2: Convert to fraction form
    32,477/70,135 = 70,135/x
  3. Step 3: Cross multiply
    32,477x = 70,135 × 70,135
  4. Step 4: Simplify right side
    32,477x = 4,918,918,225
  5. Step 5: Solve for x
    x = 4,918,918,225/32,477
  6. Step 6: Final answer
    x = 151,458.52

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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.