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Finding the Third Proportional to 35,411 and 76,085

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Solution

The third proportional to 35,411 and 76,085 is: 163,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411 : 76,085 = 76,085 : x
  2. Step 2: Convert to fraction form
    35,411/76,085 = 76,085/x
  3. Step 3: Cross multiply
    35,411x = 76,085 × 76,085
  4. Step 4: Simplify right side
    35,411x = 5,788,927,225
  5. Step 5: Solve for x
    x = 5,788,927,225/35,411
  6. Step 6: Final answer
    x = 163,478.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.