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Finding the Third Proportional to 19,252.88 and 29,574.56

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Solution

The third proportional to 19,252.88 and 29,574.56 is: 45,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252.88 : 29,574.56 = 29,574.56 : x
  2. Step 2: Convert to fraction form
    19,252.88/29,574.56 = 29,574.56/x
  3. Step 3: Cross multiply
    19,252.88x = 29,574.56 × 29,574.56
  4. Step 4: Simplify right side
    19,252.88x = 874,654,747.07
  5. Step 5: Solve for x
    x = 874,654,747.07/19,252.88
  6. Step 6: Final answer
    x = 45,429.83

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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.