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Finding the Third Proportional to 21,140 and 32,778.50

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Solution

The third proportional to 21,140 and 32,778.50 is: 50,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140 : 32,778.50 = 32,778.50 : x
  2. Step 2: Convert to fraction form
    21,140/32,778.50 = 32,778.50/x
  3. Step 3: Cross multiply
    21,140x = 32,778.50 × 32,778.50
  4. Step 4: Simplify right side
    21,140x = 1,074,430,062.25
  5. Step 5: Solve for x
    x = 1,074,430,062.25/21,140
  6. Step 6: Final answer
    x = 50,824.51

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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.