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Finding the Third Proportional to 24,025.50 and 55,301.63

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Solution

The third proportional to 24,025.50 and 55,301.63 is: 127,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,025.50 : 55,301.63 = 55,301.63 : x
  2. Step 2: Convert to fraction form
    24,025.50/55,301.63 = 55,301.63/x
  3. Step 3: Cross multiply
    24,025.50x = 55,301.63 × 55,301.63
  4. Step 4: Simplify right side
    24,025.50x = 3,058,269,727.64
  5. Step 5: Solve for x
    x = 3,058,269,727.64/24,025.50
  6. Step 6: Final answer
    x = 127,292.66

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.