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Finding the Third Proportional to 22,664.25 and 34,988.63

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Solution

The third proportional to 22,664.25 and 34,988.63 is: 54,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.25 : 34,988.63 = 34,988.63 : x
  2. Step 2: Convert to fraction form
    22,664.25/34,988.63 = 34,988.63/x
  3. Step 3: Cross multiply
    22,664.25x = 34,988.63 × 34,988.63
  4. Step 4: Simplify right side
    22,664.25x = 1,224,203,879.39
  5. Step 5: Solve for x
    x = 1,224,203,879.39/22,664.25
  6. Step 6: Final answer
    x = 54,014.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.