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Finding the Third Proportional to 2,903.72 and 4,614.47

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Solution

The third proportional to 2,903.72 and 4,614.47 is: 7,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.72 : 4,614.47 = 4,614.47 : x
  2. Step 2: Convert to fraction form
    2,903.72/4,614.47 = 4,614.47/x
  3. Step 3: Cross multiply
    2,903.72x = 4,614.47 × 4,614.47
  4. Step 4: Simplify right side
    2,903.72x = 21,293,321.84
  5. Step 5: Solve for x
    x = 21,293,321.84/2,903.72
  6. Step 6: Final answer
    x = 7,333.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.