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Finding the Third Proportional to 35,232 and 73,388

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Solution

The third proportional to 35,232 and 73,388 is: 152,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,232 : 73,388 = 73,388 : x
  2. Step 2: Convert to fraction form
    35,232/73,388 = 73,388/x
  3. Step 3: Cross multiply
    35,232x = 73,388 × 73,388
  4. Step 4: Simplify right side
    35,232x = 5,385,798,544
  5. Step 5: Solve for x
    x = 5,385,798,544/35,232
  6. Step 6: Final answer
    x = 152,866.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.