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Finding the Third Proportional to 38,878.13 and 84,670.13

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Solution

The third proportional to 38,878.13 and 84,670.13 is: 184,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,878.13 : 84,670.13 = 84,670.13 : x
  2. Step 2: Convert to fraction form
    38,878.13/84,670.13 = 84,670.13/x
  3. Step 3: Cross multiply
    38,878.13x = 84,670.13 × 84,670.13
  4. Step 4: Simplify right side
    38,878.13x = 7,169,030,067.52
  5. Step 5: Solve for x
    x = 7,169,030,067.52/38,878.13
  6. Step 6: Final answer
    x = 184,397.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.