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Finding the Third Proportional to 32,340.94 and 70,693.31

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Solution

The third proportional to 32,340.94 and 70,693.31 is: 154,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,340.94 : 70,693.31 = 70,693.31 : x
  2. Step 2: Convert to fraction form
    32,340.94/70,693.31 = 70,693.31/x
  3. Step 3: Cross multiply
    32,340.94x = 70,693.31 × 70,693.31
  4. Step 4: Simplify right side
    32,340.94x = 4,997,544,432.22
  5. Step 5: Solve for x
    x = 4,997,544,432.22/32,340.94
  6. Step 6: Final answer
    x = 154,526.89

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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.