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Finding the Third Proportional to 4,233.47 and 6,592.59

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Solution

The third proportional to 4,233.47 and 6,592.59 is: 10,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.47 : 6,592.59 = 6,592.59 : x
  2. Step 2: Convert to fraction form
    4,233.47/6,592.59 = 6,592.59/x
  3. Step 3: Cross multiply
    4,233.47x = 6,592.59 × 6,592.59
  4. Step 4: Simplify right side
    4,233.47x = 43,462,292.35
  5. Step 5: Solve for x
    x = 43,462,292.35/4,233.47
  6. Step 6: Final answer
    x = 10,266.35

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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.