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Finding the Third Proportional to 3,461 and 7,597

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Solution

The third proportional to 3,461 and 7,597 is: 16,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461 : 7,597 = 7,597 : x
  2. Step 2: Convert to fraction form
    3,461/7,597 = 7,597/x
  3. Step 3: Cross multiply
    3,461x = 7,597 × 7,597
  4. Step 4: Simplify right side
    3,461x = 57,714,409
  5. Step 5: Solve for x
    x = 57,714,409/3,461
  6. Step 6: Final answer
    x = 16,675.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.