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Finding the Third Proportional to 32,394 and 70,789.50

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Solution

The third proportional to 32,394 and 70,789.50 is: 154,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394 : 70,789.50 = 70,789.50 : x
  2. Step 2: Convert to fraction form
    32,394/70,789.50 = 70,789.50/x
  3. Step 3: Cross multiply
    32,394x = 70,789.50 × 70,789.50
  4. Step 4: Simplify right side
    32,394x = 5,011,153,310.25
  5. Step 5: Solve for x
    x = 5,011,153,310.25/32,394
  6. Step 6: Final answer
    x = 154,693.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.