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Finding the Third Proportional to 7,402 and 16,298

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Solution

The third proportional to 7,402 and 16,298 is: 35,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402 : 16,298 = 16,298 : x
  2. Step 2: Convert to fraction form
    7,402/16,298 = 16,298/x
  3. Step 3: Cross multiply
    7,402x = 16,298 × 16,298
  4. Step 4: Simplify right side
    7,402x = 265,624,804
  5. Step 5: Solve for x
    x = 265,624,804/7,402
  6. Step 6: Final answer
    x = 35,885.54

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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.