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Finding the Third Proportional to 26,082 and 35,430

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Solution

The third proportional to 26,082 and 35,430 is: 48,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082 : 35,430 = 35,430 : x
  2. Step 2: Convert to fraction form
    26,082/35,430 = 35,430/x
  3. Step 3: Cross multiply
    26,082x = 35,430 × 35,430
  4. Step 4: Simplify right side
    26,082x = 1,255,284,900
  5. Step 5: Solve for x
    x = 1,255,284,900/26,082
  6. Step 6: Final answer
    x = 48,128.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.