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Finding the Third Proportional to 36,207 and 76,484.25

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Solution

The third proportional to 36,207 and 76,484.25 is: 161,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,207 : 76,484.25 = 76,484.25 : x
  2. Step 2: Convert to fraction form
    36,207/76,484.25 = 76,484.25/x
  3. Step 3: Cross multiply
    36,207x = 76,484.25 × 76,484.25
  4. Step 4: Simplify right side
    36,207x = 5,849,840,498.06
  5. Step 5: Solve for x
    x = 5,849,840,498.06/36,207
  6. Step 6: Final answer
    x = 161,566.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.