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Finding the Third Proportional to 23,150.81 and 49,901.06

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Solution

The third proportional to 23,150.81 and 49,901.06 is: 107,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,150.81 : 49,901.06 = 49,901.06 : x
  2. Step 2: Convert to fraction form
    23,150.81/49,901.06 = 49,901.06/x
  3. Step 3: Cross multiply
    23,150.81x = 49,901.06 × 49,901.06
  4. Step 4: Simplify right side
    23,150.81x = 2,490,116,038.63
  5. Step 5: Solve for x
    x = 2,490,116,038.63/23,150.81
  6. Step 6: Final answer
    x = 107,560.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.