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Finding the Third Proportional to 27,022.50 and 58,207.50

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Solution

The third proportional to 27,022.50 and 58,207.50 is: 125,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.50 : 58,207.50 = 58,207.50 : x
  2. Step 2: Convert to fraction form
    27,022.50/58,207.50 = 58,207.50/x
  3. Step 3: Cross multiply
    27,022.50x = 58,207.50 × 58,207.50
  4. Step 4: Simplify right side
    27,022.50x = 3,388,113,056.25
  5. Step 5: Solve for x
    x = 3,388,113,056.25/27,022.50
  6. Step 6: Final answer
    x = 125,381.18

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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.