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Finding the Third Proportional to 7,941.94 and 17,267.06

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Solution

The third proportional to 7,941.94 and 17,267.06 is: 37,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.94 : 17,267.06 = 17,267.06 : x
  2. Step 2: Convert to fraction form
    7,941.94/17,267.06 = 17,267.06/x
  3. Step 3: Cross multiply
    7,941.94x = 17,267.06 × 17,267.06
  4. Step 4: Simplify right side
    7,941.94x = 298,151,447.38
  5. Step 5: Solve for x
    x = 298,151,447.38/7,941.94
  6. Step 6: Final answer
    x = 37,541.40

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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.