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Finding the Third Proportional to 22,524.75 and 35,029.13

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Solution

The third proportional to 22,524.75 and 35,029.13 is: 54,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.75 : 35,029.13 = 35,029.13 : x
  2. Step 2: Convert to fraction form
    22,524.75/35,029.13 = 35,029.13/x
  3. Step 3: Cross multiply
    22,524.75x = 35,029.13 × 35,029.13
  4. Step 4: Simplify right side
    22,524.75x = 1,227,039,598.27
  5. Step 5: Solve for x
    x = 1,227,039,598.27/22,524.75
  6. Step 6: Final answer
    x = 54,475.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.