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Finding the Third Proportional to 45,438 and 65,041

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Solution

The third proportional to 45,438 and 65,041 is: 93,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,438 : 65,041 = 65,041 : x
  2. Step 2: Convert to fraction form
    45,438/65,041 = 65,041/x
  3. Step 3: Cross multiply
    45,438x = 65,041 × 65,041
  4. Step 4: Simplify right side
    45,438x = 4,230,331,681
  5. Step 5: Solve for x
    x = 4,230,331,681/45,438
  6. Step 6: Final answer
    x = 93,101.19

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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.