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Finding the Third Proportional to 29,429 and 45,026

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Solution

The third proportional to 29,429 and 45,026 is: 68,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,429 : 45,026 = 45,026 : x
  2. Step 2: Convert to fraction form
    29,429/45,026 = 45,026/x
  3. Step 3: Cross multiply
    29,429x = 45,026 × 45,026
  4. Step 4: Simplify right side
    29,429x = 2,027,340,676
  5. Step 5: Solve for x
    x = 2,027,340,676/29,429
  6. Step 6: Final answer
    x = 68,889.21

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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.