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Finding the Third Proportional to 39,995 and 85,810

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Solution

The third proportional to 39,995 and 85,810 is: 184,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,995 : 85,810 = 85,810 : x
  2. Step 2: Convert to fraction form
    39,995/85,810 = 85,810/x
  3. Step 3: Cross multiply
    39,995x = 85,810 × 85,810
  4. Step 4: Simplify right side
    39,995x = 7,363,356,100
  5. Step 5: Solve for x
    x = 7,363,356,100/39,995
  6. Step 6: Final answer
    x = 184,106.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.