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Finding the Third Proportional to 32,412.38 and 70,359.75

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Solution

The third proportional to 32,412.38 and 70,359.75 is: 152,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.38 : 70,359.75 = 70,359.75 : x
  2. Step 2: Convert to fraction form
    32,412.38/70,359.75 = 70,359.75/x
  3. Step 3: Cross multiply
    32,412.38x = 70,359.75 × 70,359.75
  4. Step 4: Simplify right side
    32,412.38x = 4,950,494,420.06
  5. Step 5: Solve for x
    x = 4,950,494,420.06/32,412.38
  6. Step 6: Final answer
    x = 152,734.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.