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Finding the Third Proportional to 45,028 and 65,217

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Solution

The third proportional to 45,028 and 65,217 is: 94,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,028 : 65,217 = 65,217 : x
  2. Step 2: Convert to fraction form
    45,028/65,217 = 65,217/x
  3. Step 3: Cross multiply
    45,028x = 65,217 × 65,217
  4. Step 4: Simplify right side
    45,028x = 4,253,257,089
  5. Step 5: Solve for x
    x = 4,253,257,089/45,028
  6. Step 6: Final answer
    x = 94,458.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.