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Finding the Third Proportional to 26,212.25 and 57,032.50

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Solution

The third proportional to 26,212.25 and 57,032.50 is: 124,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,212.25 : 57,032.50 = 57,032.50 : x
  2. Step 2: Convert to fraction form
    26,212.25/57,032.50 = 57,032.50/x
  3. Step 3: Cross multiply
    26,212.25x = 57,032.50 × 57,032.50
  4. Step 4: Simplify right side
    26,212.25x = 3,252,706,056.25
  5. Step 5: Solve for x
    x = 3,252,706,056.25/26,212.25
  6. Step 6: Final answer
    x = 124,091.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.