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Finding the Third Proportional to 26,184.94 and 39,172.78

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Solution

The third proportional to 26,184.94 and 39,172.78 is: 58,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,184.94 : 39,172.78 = 39,172.78 : x
  2. Step 2: Convert to fraction form
    26,184.94/39,172.78 = 39,172.78/x
  3. Step 3: Cross multiply
    26,184.94x = 39,172.78 × 39,172.78
  4. Step 4: Simplify right side
    26,184.94x = 1,534,506,790.86
  5. Step 5: Solve for x
    x = 1,534,506,790.86/26,184.94
  6. Step 6: Final answer
    x = 58,602.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.