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Finding the Third Proportional to 5,628.50 and 13,030.06

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Solution

The third proportional to 5,628.50 and 13,030.06 is: 30,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.50 : 13,030.06 = 13,030.06 : x
  2. Step 2: Convert to fraction form
    5,628.50/13,030.06 = 13,030.06/x
  3. Step 3: Cross multiply
    5,628.50x = 13,030.06 × 13,030.06
  4. Step 4: Simplify right side
    5,628.50x = 169,782,528.75
  5. Step 5: Solve for x
    x = 169,782,528.75/5,628.50
  6. Step 6: Final answer
    x = 30,164.79

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.