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Finding the Third Proportional to 47,781.75 and 66,830.63

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Solution

The third proportional to 47,781.75 and 66,830.63 is: 93,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781.75 : 66,830.63 = 66,830.63 : x
  2. Step 2: Convert to fraction form
    47,781.75/66,830.63 = 66,830.63/x
  3. Step 3: Cross multiply
    47,781.75x = 66,830.63 × 66,830.63
  4. Step 4: Simplify right side
    47,781.75x = 4,466,332,437.89
  5. Step 5: Solve for x
    x = 4,466,332,437.89/47,781.75
  6. Step 6: Final answer
    x = 93,473.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.