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Finding the Third Proportional to 26,298 and 36,153

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Solution

The third proportional to 26,298 and 36,153 is: 49,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298 : 36,153 = 36,153 : x
  2. Step 2: Convert to fraction form
    26,298/36,153 = 36,153/x
  3. Step 3: Cross multiply
    26,298x = 36,153 × 36,153
  4. Step 4: Simplify right side
    26,298x = 1,307,039,409
  5. Step 5: Solve for x
    x = 1,307,039,409/26,298
  6. Step 6: Final answer
    x = 49,701.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.