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Finding the Third Proportional to 19,329 and 29,617.50

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Solution

The third proportional to 19,329 and 29,617.50 is: 45,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,329 : 29,617.50 = 29,617.50 : x
  2. Step 2: Convert to fraction form
    19,329/29,617.50 = 29,617.50/x
  3. Step 3: Cross multiply
    19,329x = 29,617.50 × 29,617.50
  4. Step 4: Simplify right side
    19,329x = 877,196,306.25
  5. Step 5: Solve for x
    x = 877,196,306.25/19,329
  6. Step 6: Final answer
    x = 45,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.