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Finding the Third Proportional to 38,616.75 and 84,614.63

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Solution

The third proportional to 38,616.75 and 84,614.63 is: 185,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616.75 : 84,614.63 = 84,614.63 : x
  2. Step 2: Convert to fraction form
    38,616.75/84,614.63 = 84,614.63/x
  3. Step 3: Cross multiply
    38,616.75x = 84,614.63 × 84,614.63
  4. Step 4: Simplify right side
    38,616.75x = 7,159,634,763.89
  5. Step 5: Solve for x
    x = 7,159,634,763.89/38,616.75
  6. Step 6: Final answer
    x = 185,402.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.