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Finding the Third Proportional to 45,481.88 and 65,127.75

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Solution

The third proportional to 45,481.88 and 65,127.75 is: 93,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,481.88 : 65,127.75 = 65,127.75 : x
  2. Step 2: Convert to fraction form
    45,481.88/65,127.75 = 65,127.75/x
  3. Step 3: Cross multiply
    45,481.88x = 65,127.75 × 65,127.75
  4. Step 4: Simplify right side
    45,481.88x = 4,241,623,820.06
  5. Step 5: Solve for x
    x = 4,241,623,820.06/45,481.88
  6. Step 6: Final answer
    x = 93,259.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.