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Finding the Third Proportional to 5,628.75 and 13,030.63

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Solution

The third proportional to 5,628.75 and 13,030.63 is: 30,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.75 : 13,030.63 = 13,030.63 : x
  2. Step 2: Convert to fraction form
    5,628.75/13,030.63 = 13,030.63/x
  3. Step 3: Cross multiply
    5,628.75x = 13,030.63 × 13,030.63
  4. Step 4: Simplify right side
    5,628.75x = 169,797,187.89
  5. Step 5: Solve for x
    x = 169,797,187.89/5,628.75
  6. Step 6: Final answer
    x = 30,166.06

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Why These Related Problems?

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