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Finding the Third Proportional to 35,228 and 51,545

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Solution

The third proportional to 35,228 and 51,545 is: 75,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,228 : 51,545 = 51,545 : x
  2. Step 2: Convert to fraction form
    35,228/51,545 = 51,545/x
  3. Step 3: Cross multiply
    35,228x = 51,545 × 51,545
  4. Step 4: Simplify right side
    35,228x = 2,656,887,025
  5. Step 5: Solve for x
    x = 2,656,887,025/35,228
  6. Step 6: Final answer
    x = 75,419.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.