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Finding the Third Proportional to 30,765 and 60,616.50

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Solution

The third proportional to 30,765 and 60,616.50 is: 119,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765 : 60,616.50 = 60,616.50 : x
  2. Step 2: Convert to fraction form
    30,765/60,616.50 = 60,616.50/x
  3. Step 3: Cross multiply
    30,765x = 60,616.50 × 60,616.50
  4. Step 4: Simplify right side
    30,765x = 3,674,360,072.25
  5. Step 5: Solve for x
    x = 3,674,360,072.25/30,765
  6. Step 6: Final answer
    x = 119,433.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.