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Finding the Third Proportional to 35,817 and 54,546

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Solution

The third proportional to 35,817 and 54,546 is: 83,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817 : 54,546 = 54,546 : x
  2. Step 2: Convert to fraction form
    35,817/54,546 = 54,546/x
  3. Step 3: Cross multiply
    35,817x = 54,546 × 54,546
  4. Step 4: Simplify right side
    35,817x = 2,975,266,116
  5. Step 5: Solve for x
    x = 2,975,266,116/35,817
  6. Step 6: Final answer
    x = 83,068.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.