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Finding the Third Proportional to 30,768 and 60,622.50

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Solution

The third proportional to 30,768 and 60,622.50 is: 119,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768 : 60,622.50 = 60,622.50 : x
  2. Step 2: Convert to fraction form
    30,768/60,622.50 = 60,622.50/x
  3. Step 3: Cross multiply
    30,768x = 60,622.50 × 60,622.50
  4. Step 4: Simplify right side
    30,768x = 3,675,087,506.25
  5. Step 5: Solve for x
    x = 3,675,087,506.25/30,768
  6. Step 6: Final answer
    x = 119,445.12

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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.