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Finding the Third Proportional to 26,253 and 39,369

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Solution

The third proportional to 26,253 and 39,369 is: 59,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,253 : 39,369 = 39,369 : x
  2. Step 2: Convert to fraction form
    26,253/39,369 = 39,369/x
  3. Step 3: Cross multiply
    26,253x = 39,369 × 39,369
  4. Step 4: Simplify right side
    26,253x = 1,549,918,161
  5. Step 5: Solve for x
    x = 1,549,918,161/26,253
  6. Step 6: Final answer
    x = 59,037.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.