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Finding the Third Proportional to 26,734.50 and 58,784.50

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Solution

The third proportional to 26,734.50 and 58,784.50 is: 129,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,734.50 : 58,784.50 = 58,784.50 : x
  2. Step 2: Convert to fraction form
    26,734.50/58,784.50 = 58,784.50/x
  3. Step 3: Cross multiply
    26,734.50x = 58,784.50 × 58,784.50
  4. Step 4: Simplify right side
    26,734.50x = 3,455,617,440.25
  5. Step 5: Solve for x
    x = 3,455,617,440.25/26,734.50
  6. Step 6: Final answer
    x = 129,256.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.