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Finding the Third Proportional to 24,976.69 and 53,506.41

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Solution

The third proportional to 24,976.69 and 53,506.41 is: 114,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976.69 : 53,506.41 = 53,506.41 : x
  2. Step 2: Convert to fraction form
    24,976.69/53,506.41 = 53,506.41/x
  3. Step 3: Cross multiply
    24,976.69x = 53,506.41 × 53,506.41
  4. Step 4: Simplify right side
    24,976.69x = 2,862,935,509.79
  5. Step 5: Solve for x
    x = 2,862,935,509.79/24,976.69
  6. Step 6: Final answer
    x = 114,624.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.