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Finding the Third Proportional to 24,046.88 and 52,619.63

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Solution

The third proportional to 24,046.88 and 52,619.63 is: 115,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046.88 : 52,619.63 = 52,619.63 : x
  2. Step 2: Convert to fraction form
    24,046.88/52,619.63 = 52,619.63/x
  3. Step 3: Cross multiply
    24,046.88x = 52,619.63 × 52,619.63
  4. Step 4: Simplify right side
    24,046.88x = 2,768,824,935.14
  5. Step 5: Solve for x
    x = 2,768,824,935.14/24,046.88
  6. Step 6: Final answer
    x = 115,142.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.