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Finding the Third Proportional to 35,225 and 51,541

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Solution

The third proportional to 35,225 and 51,541 is: 75,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,225 : 51,541 = 51,541 : x
  2. Step 2: Convert to fraction form
    35,225/51,541 = 51,541/x
  3. Step 3: Cross multiply
    35,225x = 51,541 × 51,541
  4. Step 4: Simplify right side
    35,225x = 2,656,474,681
  5. Step 5: Solve for x
    x = 2,656,474,681/35,225
  6. Step 6: Final answer
    x = 75,414.47

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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.