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Finding the Third Proportional to 29,318 and 45,957

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Solution

The third proportional to 29,318 and 45,957 is: 72,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,318 : 45,957 = 45,957 : x
  2. Step 2: Convert to fraction form
    29,318/45,957 = 45,957/x
  3. Step 3: Cross multiply
    29,318x = 45,957 × 45,957
  4. Step 4: Simplify right side
    29,318x = 2,112,045,849
  5. Step 5: Solve for x
    x = 2,112,045,849/29,318
  6. Step 6: Final answer
    x = 72,039.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.