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Finding the Third Proportional to 47,065.43 and 65,830.22

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Solution

The third proportional to 47,065.43 and 65,830.22 is: 92,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065.43 : 65,830.22 = 65,830.22 : x
  2. Step 2: Convert to fraction form
    47,065.43/65,830.22 = 65,830.22/x
  3. Step 3: Cross multiply
    47,065.43x = 65,830.22 × 65,830.22
  4. Step 4: Simplify right side
    47,065.43x = 4,333,617,700.67
  5. Step 5: Solve for x
    x = 4,333,617,700.67/47,065.43
  6. Step 6: Final answer
    x = 92,076.45

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