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Finding the Third Proportional to 7,435.13 and 17,546.63

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Solution

The third proportional to 7,435.13 and 17,546.63 is: 41,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.13 : 17,546.63 = 17,546.63 : x
  2. Step 2: Convert to fraction form
    7,435.13/17,546.63 = 17,546.63/x
  3. Step 3: Cross multiply
    7,435.13x = 17,546.63 × 17,546.63
  4. Step 4: Simplify right side
    7,435.13x = 307,884,048.89
  5. Step 5: Solve for x
    x = 307,884,048.89/7,435.13
  6. Step 6: Final answer
    x = 41,409.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.