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Finding the Third Proportional to 45,956 and 66,260

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Solution

The third proportional to 45,956 and 66,260 is: 95,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,956 : 66,260 = 66,260 : x
  2. Step 2: Convert to fraction form
    45,956/66,260 = 66,260/x
  3. Step 3: Cross multiply
    45,956x = 66,260 × 66,260
  4. Step 4: Simplify right side
    45,956x = 4,390,387,600
  5. Step 5: Solve for x
    x = 4,390,387,600/45,956
  6. Step 6: Final answer
    x = 95,534.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.