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Finding the Third Proportional to 40,383 and 61,985

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Solution

The third proportional to 40,383 and 61,985 is: 95,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,383 : 61,985 = 61,985 : x
  2. Step 2: Convert to fraction form
    40,383/61,985 = 61,985/x
  3. Step 3: Cross multiply
    40,383x = 61,985 × 61,985
  4. Step 4: Simplify right side
    40,383x = 3,842,140,225
  5. Step 5: Solve for x
    x = 3,842,140,225/40,383
  6. Step 6: Final answer
    x = 95,142.52

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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.