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Finding the Third Proportional to 26,465 and 35,282

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Solution

The third proportional to 26,465 and 35,282 is: 47,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465 : 35,282 = 35,282 : x
  2. Step 2: Convert to fraction form
    26,465/35,282 = 35,282/x
  3. Step 3: Cross multiply
    26,465x = 35,282 × 35,282
  4. Step 4: Simplify right side
    26,465x = 1,244,819,524
  5. Step 5: Solve for x
    x = 1,244,819,524/26,465
  6. Step 6: Final answer
    x = 47,036.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.