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Finding the Third Proportional to 7,921.13 and 17,411.63

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Solution

The third proportional to 7,921.13 and 17,411.63 is: 38,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.13 : 17,411.63 = 17,411.63 : x
  2. Step 2: Convert to fraction form
    7,921.13/17,411.63 = 17,411.63/x
  3. Step 3: Cross multiply
    7,921.13x = 17,411.63 × 17,411.63
  4. Step 4: Simplify right side
    7,921.13x = 303,164,685.14
  5. Step 5: Solve for x
    x = 303,164,685.14/7,921.13
  6. Step 6: Final answer
    x = 38,272.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.