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Finding the Third Proportional to 4,073.63 and 8,496.56

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Solution

The third proportional to 4,073.63 and 8,496.56 is: 17,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.63 : 8,496.56 = 8,496.56 : x
  2. Step 2: Convert to fraction form
    4,073.63/8,496.56 = 8,496.56/x
  3. Step 3: Cross multiply
    4,073.63x = 8,496.56 × 8,496.56
  4. Step 4: Simplify right side
    4,073.63x = 72,191,574.32
  5. Step 5: Solve for x
    x = 72,191,574.32/4,073.63
  6. Step 6: Final answer
    x = 17,721.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.