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Finding the Third Proportional to 21,957 and 32,452.50

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Solution

The third proportional to 21,957 and 32,452.50 is: 47,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957 : 32,452.50 = 32,452.50 : x
  2. Step 2: Convert to fraction form
    21,957/32,452.50 = 32,452.50/x
  3. Step 3: Cross multiply
    21,957x = 32,452.50 × 32,452.50
  4. Step 4: Simplify right side
    21,957x = 1,053,164,756.25
  5. Step 5: Solve for x
    x = 1,053,164,756.25/21,957
  6. Step 6: Final answer
    x = 47,964.87

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.