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Finding the Third Proportional to 27,200.81 and 51,941.25

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Solution

The third proportional to 27,200.81 and 51,941.25 is: 99,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.81 : 51,941.25 = 51,941.25 : x
  2. Step 2: Convert to fraction form
    27,200.81/51,941.25 = 51,941.25/x
  3. Step 3: Cross multiply
    27,200.81x = 51,941.25 × 51,941.25
  4. Step 4: Simplify right side
    27,200.81x = 2,697,893,451.56
  5. Step 5: Solve for x
    x = 2,697,893,451.56/27,200.81
  6. Step 6: Final answer
    x = 99,184.30

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.