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Finding the Third Proportional to 22,690.13 and 61,144.88

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Solution

The third proportional to 22,690.13 and 61,144.88 is: 164,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,690.13 : 61,144.88 = 61,144.88 : x
  2. Step 2: Convert to fraction form
    22,690.13/61,144.88 = 61,144.88/x
  3. Step 3: Cross multiply
    22,690.13x = 61,144.88 × 61,144.88
  4. Step 4: Simplify right side
    22,690.13x = 3,738,695,738.77
  5. Step 5: Solve for x
    x = 3,738,695,738.77/22,690.13
  6. Step 6: Final answer
    x = 164,771.93

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.