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Finding the Third Proportional to 21,108.75 and 33,424.50

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Solution

The third proportional to 21,108.75 and 33,424.50 is: 52,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,108.75 : 33,424.50 = 33,424.50 : x
  2. Step 2: Convert to fraction form
    21,108.75/33,424.50 = 33,424.50/x
  3. Step 3: Cross multiply
    21,108.75x = 33,424.50 × 33,424.50
  4. Step 4: Simplify right side
    21,108.75x = 1,117,197,200.25
  5. Step 5: Solve for x
    x = 1,117,197,200.25/21,108.75
  6. Step 6: Final answer
    x = 52,925.79

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.