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Finding the Third Proportional to 22,130.81 and 47,953.31

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Solution

The third proportional to 22,130.81 and 47,953.31 is: 103,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130.81 : 47,953.31 = 47,953.31 : x
  2. Step 2: Convert to fraction form
    22,130.81/47,953.31 = 47,953.31/x
  3. Step 3: Cross multiply
    22,130.81x = 47,953.31 × 47,953.31
  4. Step 4: Simplify right side
    22,130.81x = 2,299,520,179.72
  5. Step 5: Solve for x
    x = 2,299,520,179.72/22,130.81
  6. Step 6: Final answer
    x = 103,905.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.