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Finding the Third Proportional to 39,342.38 and 84,904.88

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Solution

The third proportional to 39,342.38 and 84,904.88 is: 183,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,342.38 : 84,904.88 = 84,904.88 : x
  2. Step 2: Convert to fraction form
    39,342.38/84,904.88 = 84,904.88/x
  3. Step 3: Cross multiply
    39,342.38x = 84,904.88 × 84,904.88
  4. Step 4: Simplify right side
    39,342.38x = 7,208,837,798.77
  5. Step 5: Solve for x
    x = 7,208,837,798.77/39,342.38
  6. Step 6: Final answer
    x = 183,233.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.