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Finding the Third Proportional to 35,599 and 51,562

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Solution

The third proportional to 35,599 and 51,562 is: 74,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,599 : 51,562 = 51,562 : x
  2. Step 2: Convert to fraction form
    35,599/51,562 = 51,562/x
  3. Step 3: Cross multiply
    35,599x = 51,562 × 51,562
  4. Step 4: Simplify right side
    35,599x = 2,658,639,844
  5. Step 5: Solve for x
    x = 2,658,639,844/35,599
  6. Step 6: Final answer
    x = 74,682.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.