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Finding the Third Proportional to 45,034 and 65,813

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Solution

The third proportional to 45,034 and 65,813 is: 96,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,034 : 65,813 = 65,813 : x
  2. Step 2: Convert to fraction form
    45,034/65,813 = 65,813/x
  3. Step 3: Cross multiply
    45,034x = 65,813 × 65,813
  4. Step 4: Simplify right side
    45,034x = 4,331,350,969
  5. Step 5: Solve for x
    x = 4,331,350,969/45,034
  6. Step 6: Final answer
    x = 96,179.57

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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.