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Finding the Third Proportional to 42,765 and 66,379

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Solution

The third proportional to 42,765 and 66,379 is: 103,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,765 : 66,379 = 66,379 : x
  2. Step 2: Convert to fraction form
    42,765/66,379 = 66,379/x
  3. Step 3: Cross multiply
    42,765x = 66,379 × 66,379
  4. Step 4: Simplify right side
    42,765x = 4,406,171,641
  5. Step 5: Solve for x
    x = 4,406,171,641/42,765
  6. Step 6: Final answer
    x = 103,032.19

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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.