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Finding the Third Proportional to 7,122.94 and 15,476.06

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Solution

The third proportional to 7,122.94 and 15,476.06 is: 33,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.94 : 15,476.06 = 15,476.06 : x
  2. Step 2: Convert to fraction form
    7,122.94/15,476.06 = 15,476.06/x
  3. Step 3: Cross multiply
    7,122.94x = 15,476.06 × 15,476.06
  4. Step 4: Simplify right side
    7,122.94x = 239,508,510.50
  5. Step 5: Solve for x
    x = 239,508,510.50/7,122.94
  6. Step 6: Final answer
    x = 33,624.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.