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Finding the Third Proportional to 26,507 and 37,153

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Solution

The third proportional to 26,507 and 37,153 is: 52,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507 : 37,153 = 37,153 : x
  2. Step 2: Convert to fraction form
    26,507/37,153 = 37,153/x
  3. Step 3: Cross multiply
    26,507x = 37,153 × 37,153
  4. Step 4: Simplify right side
    26,507x = 1,380,345,409
  5. Step 5: Solve for x
    x = 1,380,345,409/26,507
  6. Step 6: Final answer
    x = 52,074.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.