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Finding the Third Proportional to 38,981.57 and 84,184.55

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Solution

The third proportional to 38,981.57 and 84,184.55 is: 181,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,981.57 : 84,184.55 = 84,184.55 : x
  2. Step 2: Convert to fraction form
    38,981.57/84,184.55 = 84,184.55/x
  3. Step 3: Cross multiply
    38,981.57x = 84,184.55 × 84,184.55
  4. Step 4: Simplify right side
    38,981.57x = 7,087,038,425.82
  5. Step 5: Solve for x
    x = 7,087,038,425.82/38,981.57
  6. Step 6: Final answer
    x = 181,804.87

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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.