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Finding the Third Proportional to 12,030.50 and 17,329.50

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Solution

The third proportional to 12,030.50 and 17,329.50 is: 24,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.50 : 17,329.50 = 17,329.50 : x
  2. Step 2: Convert to fraction form
    12,030.50/17,329.50 = 17,329.50/x
  3. Step 3: Cross multiply
    12,030.50x = 17,329.50 × 17,329.50
  4. Step 4: Simplify right side
    12,030.50x = 300,311,570.25
  5. Step 5: Solve for x
    x = 300,311,570.25/12,030.50
  6. Step 6: Final answer
    x = 24,962.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.