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Finding the Third Proportional to 4,609.41 and 5,957.30

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Solution

The third proportional to 4,609.41 and 5,957.30 is: 7,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.41 : 5,957.30 = 5,957.30 : x
  2. Step 2: Convert to fraction form
    4,609.41/5,957.30 = 5,957.30/x
  3. Step 3: Cross multiply
    4,609.41x = 5,957.30 × 5,957.30
  4. Step 4: Simplify right side
    4,609.41x = 35,489,386.06
  5. Step 5: Solve for x
    x = 35,489,386.06/4,609.41
  6. Step 6: Final answer
    x = 7,699.34

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.