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Finding the Third Proportional to 21,817 and 33,130.50

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Solution

The third proportional to 21,817 and 33,130.50 is: 50,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817 : 33,130.50 = 33,130.50 : x
  2. Step 2: Convert to fraction form
    21,817/33,130.50 = 33,130.50/x
  3. Step 3: Cross multiply
    21,817x = 33,130.50 × 33,130.50
  4. Step 4: Simplify right side
    21,817x = 1,097,630,030.25
  5. Step 5: Solve for x
    x = 1,097,630,030.25/21,817
  6. Step 6: Final answer
    x = 50,310.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.