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Finding the Third Proportional to 29,672 and 45,818

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Solution

The third proportional to 29,672 and 45,818 is: 70,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672 : 45,818 = 45,818 : x
  2. Step 2: Convert to fraction form
    29,672/45,818 = 45,818/x
  3. Step 3: Cross multiply
    29,672x = 45,818 × 45,818
  4. Step 4: Simplify right side
    29,672x = 2,099,289,124
  5. Step 5: Solve for x
    x = 2,099,289,124/29,672
  6. Step 6: Final answer
    x = 70,749.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.