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Finding the Third Proportional to 23,765.91 and 51,041.81

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Solution

The third proportional to 23,765.91 and 51,041.81 is: 109,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.91 : 51,041.81 = 51,041.81 : x
  2. Step 2: Convert to fraction form
    23,765.91/51,041.81 = 51,041.81/x
  3. Step 3: Cross multiply
    23,765.91x = 51,041.81 × 51,041.81
  4. Step 4: Simplify right side
    23,765.91x = 2,605,266,623.29
  5. Step 5: Solve for x
    x = 2,605,266,623.29/23,765.91
  6. Step 6: Final answer
    x = 109,622.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.