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Finding the Third Proportional to 27,130.50 and 58,771.75

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Solution

The third proportional to 27,130.50 and 58,771.75 is: 127,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130.50 : 58,771.75 = 58,771.75 : x
  2. Step 2: Convert to fraction form
    27,130.50/58,771.75 = 58,771.75/x
  3. Step 3: Cross multiply
    27,130.50x = 58,771.75 × 58,771.75
  4. Step 4: Simplify right side
    27,130.50x = 3,454,118,598.06
  5. Step 5: Solve for x
    x = 3,454,118,598.06/27,130.50
  6. Step 6: Final answer
    x = 127,314.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.