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Finding the Third Proportional to 4,125.94 and 5,605.59

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Solution

The third proportional to 4,125.94 and 5,605.59 is: 7,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.94 : 5,605.59 = 5,605.59 : x
  2. Step 2: Convert to fraction form
    4,125.94/5,605.59 = 5,605.59/x
  3. Step 3: Cross multiply
    4,125.94x = 5,605.59 × 5,605.59
  4. Step 4: Simplify right side
    4,125.94x = 31,422,681.29
  5. Step 5: Solve for x
    x = 31,422,681.29/4,125.94
  6. Step 6: Final answer
    x = 7,615.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.