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Finding the Third Proportional to 29,172 and 45,257

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Solution

The third proportional to 29,172 and 45,257 is: 70,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,172 : 45,257 = 45,257 : x
  2. Step 2: Convert to fraction form
    29,172/45,257 = 45,257/x
  3. Step 3: Cross multiply
    29,172x = 45,257 × 45,257
  4. Step 4: Simplify right side
    29,172x = 2,048,196,049
  5. Step 5: Solve for x
    x = 2,048,196,049/29,172
  6. Step 6: Final answer
    x = 70,211.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.