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Finding the Third Proportional to 24,740.44 and 53,921.06

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Solution

The third proportional to 24,740.44 and 53,921.06 is: 117,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.44 : 53,921.06 = 53,921.06 : x
  2. Step 2: Convert to fraction form
    24,740.44/53,921.06 = 53,921.06/x
  3. Step 3: Cross multiply
    24,740.44x = 53,921.06 × 53,921.06
  4. Step 4: Simplify right side
    24,740.44x = 2,907,480,981.13
  5. Step 5: Solve for x
    x = 2,907,480,981.13/24,740.44
  6. Step 6: Final answer
    x = 117,519.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.