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Finding the Third Proportional to 29,664 and 45,378

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Solution

The third proportional to 29,664 and 45,378 is: 69,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,664 : 45,378 = 45,378 : x
  2. Step 2: Convert to fraction form
    29,664/45,378 = 45,378/x
  3. Step 3: Cross multiply
    29,664x = 45,378 × 45,378
  4. Step 4: Simplify right side
    29,664x = 2,059,162,884
  5. Step 5: Solve for x
    x = 2,059,162,884/29,664
  6. Step 6: Final answer
    x = 69,416.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.