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Finding the Third Proportional to 32,243 and 45,664.50

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Solution

The third proportional to 32,243 and 45,664.50 is: 64,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,243 : 45,664.50 = 45,664.50 : x
  2. Step 2: Convert to fraction form
    32,243/45,664.50 = 45,664.50/x
  3. Step 3: Cross multiply
    32,243x = 45,664.50 × 45,664.50
  4. Step 4: Simplify right side
    32,243x = 2,085,246,560.25
  5. Step 5: Solve for x
    x = 2,085,246,560.25/32,243
  6. Step 6: Final answer
    x = 64,672.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.