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Finding the Third Proportional to 30,735 and 62,598

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Solution

The third proportional to 30,735 and 62,598 is: 127,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735 : 62,598 = 62,598 : x
  2. Step 2: Convert to fraction form
    30,735/62,598 = 62,598/x
  3. Step 3: Cross multiply
    30,735x = 62,598 × 62,598
  4. Step 4: Simplify right side
    30,735x = 3,918,509,604
  5. Step 5: Solve for x
    x = 3,918,509,604/30,735
  6. Step 6: Final answer
    x = 127,493.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.