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Finding the Third Proportional to 42,391 and 65,535

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Solution

The third proportional to 42,391 and 65,535 is: 101,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,391 : 65,535 = 65,535 : x
  2. Step 2: Convert to fraction form
    42,391/65,535 = 65,535/x
  3. Step 3: Cross multiply
    42,391x = 65,535 × 65,535
  4. Step 4: Simplify right side
    42,391x = 4,294,836,225
  5. Step 5: Solve for x
    x = 4,294,836,225/42,391
  6. Step 6: Final answer
    x = 101,314.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.