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Finding the Third Proportional to 16,266 and 35,565

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Solution

The third proportional to 16,266 and 35,565 is: 77,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266 : 35,565 = 35,565 : x
  2. Step 2: Convert to fraction form
    16,266/35,565 = 35,565/x
  3. Step 3: Cross multiply
    16,266x = 35,565 × 35,565
  4. Step 4: Simplify right side
    16,266x = 1,264,869,225
  5. Step 5: Solve for x
    x = 1,264,869,225/16,266
  6. Step 6: Final answer
    x = 77,761.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.