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Finding the Third Proportional to 15,673.50 and 24,375.94

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Solution

The third proportional to 15,673.50 and 24,375.94 is: 37,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,673.50 : 24,375.94 = 24,375.94 : x
  2. Step 2: Convert to fraction form
    15,673.50/24,375.94 = 24,375.94/x
  3. Step 3: Cross multiply
    15,673.50x = 24,375.94 × 24,375.94
  4. Step 4: Simplify right side
    15,673.50x = 594,186,329.00
  5. Step 5: Solve for x
    x = 594,186,329.00/15,673.50
  6. Step 6: Final answer
    x = 37,910.25

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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.