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Finding the Third Proportional to 29,769.13 and 63,632.25

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Solution

The third proportional to 29,769.13 and 63,632.25 is: 136,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.13 : 63,632.25 = 63,632.25 : x
  2. Step 2: Convert to fraction form
    29,769.13/63,632.25 = 63,632.25/x
  3. Step 3: Cross multiply
    29,769.13x = 63,632.25 × 63,632.25
  4. Step 4: Simplify right side
    29,769.13x = 4,049,063,240.06
  5. Step 5: Solve for x
    x = 4,049,063,240.06/29,769.13
  6. Step 6: Final answer
    x = 136,015.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.