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Finding the Third Proportional to 22,997.25 and 36,689.63

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Solution

The third proportional to 22,997.25 and 36,689.63 is: 58,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.25 : 36,689.63 = 36,689.63 : x
  2. Step 2: Convert to fraction form
    22,997.25/36,689.63 = 36,689.63/x
  3. Step 3: Cross multiply
    22,997.25x = 36,689.63 × 36,689.63
  4. Step 4: Simplify right side
    22,997.25x = 1,346,128,582.64
  5. Step 5: Solve for x
    x = 1,346,128,582.64/22,997.25
  6. Step 6: Final answer
    x = 58,534.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.