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Finding the Third Proportional to 7,412.63 and 17,718.19

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Solution

The third proportional to 7,412.63 and 17,718.19 is: 42,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.63 : 17,718.19 = 17,718.19 : x
  2. Step 2: Convert to fraction form
    7,412.63/17,718.19 = 17,718.19/x
  3. Step 3: Cross multiply
    7,412.63x = 17,718.19 × 17,718.19
  4. Step 4: Simplify right side
    7,412.63x = 313,934,168.29
  5. Step 5: Solve for x
    x = 313,934,168.29/7,412.63
  6. Step 6: Final answer
    x = 42,351.28

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.