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Finding the Third Proportional to 32,374.69 and 39,664.69

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Solution

The third proportional to 32,374.69 and 39,664.69 is: 48,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.69 : 39,664.69 = 39,664.69 : x
  2. Step 2: Convert to fraction form
    32,374.69/39,664.69 = 39,664.69/x
  3. Step 3: Cross multiply
    32,374.69x = 39,664.69 × 39,664.69
  4. Step 4: Simplify right side
    32,374.69x = 1,573,287,434.47
  5. Step 5: Solve for x
    x = 1,573,287,434.47/32,374.69
  6. Step 6: Final answer
    x = 48,596.22

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.