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Finding the Third Proportional to 35,114 and 53,715

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Solution

The third proportional to 35,114 and 53,715 is: 82,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114 : 53,715 = 53,715 : x
  2. Step 2: Convert to fraction form
    35,114/53,715 = 53,715/x
  3. Step 3: Cross multiply
    35,114x = 53,715 × 53,715
  4. Step 4: Simplify right side
    35,114x = 2,885,301,225
  5. Step 5: Solve for x
    x = 2,885,301,225/35,114
  6. Step 6: Final answer
    x = 82,169.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.