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Finding the Third Proportional to 45,271 and 66,286

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Solution

The third proportional to 45,271 and 66,286 is: 97,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,271 : 66,286 = 66,286 : x
  2. Step 2: Convert to fraction form
    45,271/66,286 = 66,286/x
  3. Step 3: Cross multiply
    45,271x = 66,286 × 66,286
  4. Step 4: Simplify right side
    45,271x = 4,393,833,796
  5. Step 5: Solve for x
    x = 4,393,833,796/45,271
  6. Step 6: Final answer
    x = 97,056.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.