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Finding the Third Proportional to 4,606.13 and 7,205.63

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Solution

The third proportional to 4,606.13 and 7,205.63 is: 11,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.13 : 7,205.63 = 7,205.63 : x
  2. Step 2: Convert to fraction form
    4,606.13/7,205.63 = 7,205.63/x
  3. Step 3: Cross multiply
    4,606.13x = 7,205.63 × 7,205.63
  4. Step 4: Simplify right side
    4,606.13x = 51,921,031.64
  5. Step 5: Solve for x
    x = 51,921,031.64/4,606.13
  6. Step 6: Final answer
    x = 11,272.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.