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Finding the Third Proportional to 38,713.50 and 84,807.75

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Solution

The third proportional to 38,713.50 and 84,807.75 is: 185,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713.50 : 84,807.75 = 84,807.75 : x
  2. Step 2: Convert to fraction form
    38,713.50/84,807.75 = 84,807.75/x
  3. Step 3: Cross multiply
    38,713.50x = 84,807.75 × 84,807.75
  4. Step 4: Simplify right side
    38,713.50x = 7,192,354,460.06
  5. Step 5: Solve for x
    x = 7,192,354,460.06/38,713.50
  6. Step 6: Final answer
    x = 185,784.14

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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.