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Finding the Third Proportional to 47,682.75 and 70,063.50

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Solution

The third proportional to 47,682.75 and 70,063.50 is: 102,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682.75 : 70,063.50 = 70,063.50 : x
  2. Step 2: Convert to fraction form
    47,682.75/70,063.50 = 70,063.50/x
  3. Step 3: Cross multiply
    47,682.75x = 70,063.50 × 70,063.50
  4. Step 4: Simplify right side
    47,682.75x = 4,908,894,032.25
  5. Step 5: Solve for x
    x = 4,908,894,032.25/47,682.75
  6. Step 6: Final answer
    x = 102,949.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.