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Finding the Third Proportional to 7,001.81 and 14,652.75

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Solution

The third proportional to 7,001.81 and 14,652.75 is: 30,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.81 : 14,652.75 = 14,652.75 : x
  2. Step 2: Convert to fraction form
    7,001.81/14,652.75 = 14,652.75/x
  3. Step 3: Cross multiply
    7,001.81x = 14,652.75 × 14,652.75
  4. Step 4: Simplify right side
    7,001.81x = 214,703,082.56
  5. Step 5: Solve for x
    x = 214,703,082.56/7,001.81
  6. Step 6: Final answer
    x = 30,663.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.