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Finding the Third Proportional to 17,830.13 and 30,329.44

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Solution

The third proportional to 17,830.13 and 30,329.44 is: 51,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.13 : 30,329.44 = 30,329.44 : x
  2. Step 2: Convert to fraction form
    17,830.13/30,329.44 = 30,329.44/x
  3. Step 3: Cross multiply
    17,830.13x = 30,329.44 × 30,329.44
  4. Step 4: Simplify right side
    17,830.13x = 919,874,779.07
  5. Step 5: Solve for x
    x = 919,874,779.07/17,830.13
  6. Step 6: Final answer
    x = 51,591.04

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.