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Finding the Third Proportional to 32,622.75 and 70,097.91

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Solution

The third proportional to 32,622.75 and 70,097.91 is: 150,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622.75 : 70,097.91 = 70,097.91 : x
  2. Step 2: Convert to fraction form
    32,622.75/70,097.91 = 70,097.91/x
  3. Step 3: Cross multiply
    32,622.75x = 70,097.91 × 70,097.91
  4. Step 4: Simplify right side
    32,622.75x = 4,913,716,460.63
  5. Step 5: Solve for x
    x = 4,913,716,460.63/32,622.75
  6. Step 6: Final answer
    x = 150,622.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.