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Finding the Third Proportional to 15,346.97 and 33,116.34

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Solution

The third proportional to 15,346.97 and 33,116.34 is: 71,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,346.97 : 33,116.34 = 33,116.34 : x
  2. Step 2: Convert to fraction form
    15,346.97/33,116.34 = 33,116.34/x
  3. Step 3: Cross multiply
    15,346.97x = 33,116.34 × 33,116.34
  4. Step 4: Simplify right side
    15,346.97x = 1,096,692,223.37
  5. Step 5: Solve for x
    x = 1,096,692,223.37/15,346.97
  6. Step 6: Final answer
    x = 71,459.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.