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Finding the Third Proportional to 24,222 and 56,607

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Solution

The third proportional to 24,222 and 56,607 is: 132,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 56,607 = 56,607 : x
  2. Step 2: Convert to fraction form
    24,222/56,607 = 56,607/x
  3. Step 3: Cross multiply
    24,222x = 56,607 × 56,607
  4. Step 4: Simplify right side
    24,222x = 3,204,352,449
  5. Step 5: Solve for x
    x = 3,204,352,449/24,222
  6. Step 6: Final answer
    x = 132,290.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.