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Finding the Third Proportional to 35,016 and 45,961.50

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Solution

The third proportional to 35,016 and 45,961.50 is: 60,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,016 : 45,961.50 = 45,961.50 : x
  2. Step 2: Convert to fraction form
    35,016/45,961.50 = 45,961.50/x
  3. Step 3: Cross multiply
    35,016x = 45,961.50 × 45,961.50
  4. Step 4: Simplify right side
    35,016x = 2,112,459,482.25
  5. Step 5: Solve for x
    x = 2,112,459,482.25/35,016
  6. Step 6: Final answer
    x = 60,328.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.