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Finding the Third Proportional to 47,797.50 and 70,005.75

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Solution

The third proportional to 47,797.50 and 70,005.75 is: 102,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.50 : 70,005.75 = 70,005.75 : x
  2. Step 2: Convert to fraction form
    47,797.50/70,005.75 = 70,005.75/x
  3. Step 3: Cross multiply
    47,797.50x = 70,005.75 × 70,005.75
  4. Step 4: Simplify right side
    47,797.50x = 4,900,805,033.06
  5. Step 5: Solve for x
    x = 4,900,805,033.06/47,797.50
  6. Step 6: Final answer
    x = 102,532.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.