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Finding the Third Proportional to 24,416.25 and 51,830

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Solution

The third proportional to 24,416.25 and 51,830 is: 110,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.25 : 51,830 = 51,830 : x
  2. Step 2: Convert to fraction form
    24,416.25/51,830 = 51,830/x
  3. Step 3: Cross multiply
    24,416.25x = 51,830 × 51,830
  4. Step 4: Simplify right side
    24,416.25x = 2,686,348,900
  5. Step 5: Solve for x
    x = 2,686,348,900/24,416.25
  6. Step 6: Final answer
    x = 110,022.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.