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Finding the Third Proportional to 2,609.34 and 4,598.79

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Solution

The third proportional to 2,609.34 and 4,598.79 is: 8,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.34 : 4,598.79 = 4,598.79 : x
  2. Step 2: Convert to fraction form
    2,609.34/4,598.79 = 4,598.79/x
  3. Step 3: Cross multiply
    2,609.34x = 4,598.79 × 4,598.79
  4. Step 4: Simplify right side
    2,609.34x = 21,148,840.63
  5. Step 5: Solve for x
    x = 21,148,840.63/2,609.34
  6. Step 6: Final answer
    x = 8,105.04

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.