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Finding the Third Proportional to 5,595.75 and 13,047.75

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Solution

The third proportional to 5,595.75 and 13,047.75 is: 30,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.75 : 13,047.75 = 13,047.75 : x
  2. Step 2: Convert to fraction form
    5,595.75/13,047.75 = 13,047.75/x
  3. Step 3: Cross multiply
    5,595.75x = 13,047.75 × 13,047.75
  4. Step 4: Simplify right side
    5,595.75x = 170,243,780.06
  5. Step 5: Solve for x
    x = 170,243,780.06/5,595.75
  6. Step 6: Final answer
    x = 30,423.76

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.