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Finding the Third Proportional to 35,217 and 51,583

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Solution

The third proportional to 35,217 and 51,583 is: 75,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,217 : 51,583 = 51,583 : x
  2. Step 2: Convert to fraction form
    35,217/51,583 = 51,583/x
  3. Step 3: Cross multiply
    35,217x = 51,583 × 51,583
  4. Step 4: Simplify right side
    35,217x = 2,660,805,889
  5. Step 5: Solve for x
    x = 2,660,805,889/35,217
  6. Step 6: Final answer
    x = 75,554.59

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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.