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Finding the Third Proportional to 35,374 and 55,213

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Solution

The third proportional to 35,374 and 55,213 is: 86,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,374 : 55,213 = 55,213 : x
  2. Step 2: Convert to fraction form
    35,374/55,213 = 55,213/x
  3. Step 3: Cross multiply
    35,374x = 55,213 × 55,213
  4. Step 4: Simplify right side
    35,374x = 3,048,475,369
  5. Step 5: Solve for x
    x = 3,048,475,369/35,374
  6. Step 6: Final answer
    x = 86,178.42

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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.