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Finding the Third Proportional to 35,388 and 55,233

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Solution

The third proportional to 35,388 and 55,233 is: 86,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,388 : 55,233 = 55,233 : x
  2. Step 2: Convert to fraction form
    35,388/55,233 = 55,233/x
  3. Step 3: Cross multiply
    35,388x = 55,233 × 55,233
  4. Step 4: Simplify right side
    35,388x = 3,050,684,289
  5. Step 5: Solve for x
    x = 3,050,684,289/35,388
  6. Step 6: Final answer
    x = 86,206.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.