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Finding the Third Proportional to 57,824.63 and 84,275.63

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Solution

The third proportional to 57,824.63 and 84,275.63 is: 122,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824.63 : 84,275.63 = 84,275.63 : x
  2. Step 2: Convert to fraction form
    57,824.63/84,275.63 = 84,275.63/x
  3. Step 3: Cross multiply
    57,824.63x = 84,275.63 × 84,275.63
  4. Step 4: Simplify right side
    57,824.63x = 7,102,380,969.14
  5. Step 5: Solve for x
    x = 7,102,380,969.14/57,824.63
  6. Step 6: Final answer
    x = 122,826.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.