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Finding the Third Proportional to 21,789 and 34,630.50

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Solution

The third proportional to 21,789 and 34,630.50 is: 55,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789 : 34,630.50 = 34,630.50 : x
  2. Step 2: Convert to fraction form
    21,789/34,630.50 = 34,630.50/x
  3. Step 3: Cross multiply
    21,789x = 34,630.50 × 34,630.50
  4. Step 4: Simplify right side
    21,789x = 1,199,271,530.25
  5. Step 5: Solve for x
    x = 1,199,271,530.25/21,789
  6. Step 6: Final answer
    x = 55,040.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.