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Finding the Third Proportional to 36,095 and 86,956.50

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Solution

The third proportional to 36,095 and 86,956.50 is: 209,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,095 : 86,956.50 = 86,956.50 : x
  2. Step 2: Convert to fraction form
    36,095/86,956.50 = 86,956.50/x
  3. Step 3: Cross multiply
    36,095x = 86,956.50 × 86,956.50
  4. Step 4: Simplify right side
    36,095x = 7,561,432,892.25
  5. Step 5: Solve for x
    x = 7,561,432,892.25/36,095
  6. Step 6: Final answer
    x = 209,486.99

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.