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Finding the Third Proportional to 36,488.81 and 78,434.06

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Solution

The third proportional to 36,488.81 and 78,434.06 is: 168,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488.81 : 78,434.06 = 78,434.06 : x
  2. Step 2: Convert to fraction form
    36,488.81/78,434.06 = 78,434.06/x
  3. Step 3: Cross multiply
    36,488.81x = 78,434.06 × 78,434.06
  4. Step 4: Simplify right side
    36,488.81x = 6,151,902,160.25
  5. Step 5: Solve for x
    x = 6,151,902,160.25/36,488.81
  6. Step 6: Final answer
    x = 168,596.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.