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Finding the Third Proportional to 33,454 and 45,872.50

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Solution

The third proportional to 33,454 and 45,872.50 is: 62,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 45,872.50 = 45,872.50 : x
  2. Step 2: Convert to fraction form
    33,454/45,872.50 = 45,872.50/x
  3. Step 3: Cross multiply
    33,454x = 45,872.50 × 45,872.50
  4. Step 4: Simplify right side
    33,454x = 2,104,286,256.25
  5. Step 5: Solve for x
    x = 2,104,286,256.25/33,454
  6. Step 6: Final answer
    x = 62,900.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.