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Finding the Third Proportional to 24,334.17 and 53,179.03

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Solution

The third proportional to 24,334.17 and 53,179.03 is: 116,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.17 : 53,179.03 = 53,179.03 : x
  2. Step 2: Convert to fraction form
    24,334.17/53,179.03 = 53,179.03/x
  3. Step 3: Cross multiply
    24,334.17x = 53,179.03 × 53,179.03
  4. Step 4: Simplify right side
    24,334.17x = 2,828,009,364.69
  5. Step 5: Solve for x
    x = 2,828,009,364.69/24,334.17
  6. Step 6: Final answer
    x = 116,215.56

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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.