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Finding the Third Proportional to 32,548.71 and 50,369.34

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Solution

The third proportional to 32,548.71 and 50,369.34 is: 77,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.71 : 50,369.34 = 50,369.34 : x
  2. Step 2: Convert to fraction form
    32,548.71/50,369.34 = 50,369.34/x
  3. Step 3: Cross multiply
    32,548.71x = 50,369.34 × 50,369.34
  4. Step 4: Simplify right side
    32,548.71x = 2,537,070,789.81
  5. Step 5: Solve for x
    x = 2,537,070,789.81/32,548.71
  6. Step 6: Final answer
    x = 77,946.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.