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Finding the Third Proportional to 30,800.25 and 48,964.50

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Solution

The third proportional to 30,800.25 and 48,964.50 is: 77,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.25 : 48,964.50 = 48,964.50 : x
  2. Step 2: Convert to fraction form
    30,800.25/48,964.50 = 48,964.50/x
  3. Step 3: Cross multiply
    30,800.25x = 48,964.50 × 48,964.50
  4. Step 4: Simplify right side
    30,800.25x = 2,397,522,260.25
  5. Step 5: Solve for x
    x = 2,397,522,260.25/30,800.25
  6. Step 6: Final answer
    x = 77,841

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.