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Finding the Third Proportional to 30,180 and 48,295.50

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Solution

The third proportional to 30,180 and 48,295.50 is: 77,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180 : 48,295.50 = 48,295.50 : x
  2. Step 2: Convert to fraction form
    30,180/48,295.50 = 48,295.50/x
  3. Step 3: Cross multiply
    30,180x = 48,295.50 × 48,295.50
  4. Step 4: Simplify right side
    30,180x = 2,332,455,320.25
  5. Step 5: Solve for x
    x = 2,332,455,320.25/30,180
  6. Step 6: Final answer
    x = 77,284.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.