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Finding the Third Proportional to 23,672.81 and 51,800.06

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Solution

The third proportional to 23,672.81 and 51,800.06 is: 113,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.81 : 51,800.06 = 51,800.06 : x
  2. Step 2: Convert to fraction form
    23,672.81/51,800.06 = 51,800.06/x
  3. Step 3: Cross multiply
    23,672.81x = 51,800.06 × 51,800.06
  4. Step 4: Simplify right side
    23,672.81x = 2,683,246,475.00
  5. Step 5: Solve for x
    x = 2,683,246,475.00/23,672.81
  6. Step 6: Final answer
    x = 113,347.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.