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Finding the Third Proportional to 32,327.44 and 49,929.75

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Solution

The third proportional to 32,327.44 and 49,929.75 is: 77,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.44 : 49,929.75 = 49,929.75 : x
  2. Step 2: Convert to fraction form
    32,327.44/49,929.75 = 49,929.75/x
  3. Step 3: Cross multiply
    32,327.44x = 49,929.75 × 49,929.75
  4. Step 4: Simplify right side
    32,327.44x = 2,492,979,935.06
  5. Step 5: Solve for x
    x = 2,492,979,935.06/32,327.44
  6. Step 6: Final answer
    x = 77,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.