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Finding the Third Proportional to 24,005.74 and 55,347.05

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Solution

The third proportional to 24,005.74 and 55,347.05 is: 127,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.74 : 55,347.05 = 55,347.05 : x
  2. Step 2: Convert to fraction form
    24,005.74/55,347.05 = 55,347.05/x
  3. Step 3: Cross multiply
    24,005.74x = 55,347.05 × 55,347.05
  4. Step 4: Simplify right side
    24,005.74x = 3,063,295,597.78
  5. Step 5: Solve for x
    x = 3,063,295,597.78/24,005.74
  6. Step 6: Final answer
    x = 127,606.79

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.