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Finding the Third Proportional to 7,397.81 and 15,923.34

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Solution

The third proportional to 7,397.81 and 15,923.34 is: 34,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.81 : 15,923.34 = 15,923.34 : x
  2. Step 2: Convert to fraction form
    7,397.81/15,923.34 = 15,923.34/x
  3. Step 3: Cross multiply
    7,397.81x = 15,923.34 × 15,923.34
  4. Step 4: Simplify right side
    7,397.81x = 253,552,876.18
  5. Step 5: Solve for x
    x = 253,552,876.18/7,397.81
  6. Step 6: Final answer
    x = 34,274.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.