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Finding the Third Proportional to 21,807 and 29,182.50

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Solution

The third proportional to 21,807 and 29,182.50 is: 39,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807 : 29,182.50 = 29,182.50 : x
  2. Step 2: Convert to fraction form
    21,807/29,182.50 = 29,182.50/x
  3. Step 3: Cross multiply
    21,807x = 29,182.50 × 29,182.50
  4. Step 4: Simplify right side
    21,807x = 851,618,306.25
  5. Step 5: Solve for x
    x = 851,618,306.25/21,807
  6. Step 6: Final answer
    x = 39,052.52

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.