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Finding the Third Proportional to 47,624.63 and 70,014.38

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Solution

The third proportional to 47,624.63 and 70,014.38 is: 102,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,624.63 : 70,014.38 = 70,014.38 : x
  2. Step 2: Convert to fraction form
    47,624.63/70,014.38 = 70,014.38/x
  3. Step 3: Cross multiply
    47,624.63x = 70,014.38 × 70,014.38
  4. Step 4: Simplify right side
    47,624.63x = 4,902,012,706.64
  5. Step 5: Solve for x
    x = 4,902,012,706.64/47,624.63
  6. Step 6: Final answer
    x = 102,930.21

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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.