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Finding the Third Proportional to 5,995.50 and 13,030.50

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Solution

The third proportional to 5,995.50 and 13,030.50 is: 28,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.50 : 13,030.50 = 13,030.50 : x
  2. Step 2: Convert to fraction form
    5,995.50/13,030.50 = 13,030.50/x
  3. Step 3: Cross multiply
    5,995.50x = 13,030.50 × 13,030.50
  4. Step 4: Simplify right side
    5,995.50x = 169,793,930.25
  5. Step 5: Solve for x
    x = 169,793,930.25/5,995.50
  6. Step 6: Final answer
    x = 28,320.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.