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Finding the Third Proportional to 21,190 and 32,798

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Solution

The third proportional to 21,190 and 32,798 is: 50,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190 : 32,798 = 32,798 : x
  2. Step 2: Convert to fraction form
    21,190/32,798 = 32,798/x
  3. Step 3: Cross multiply
    21,190x = 32,798 × 32,798
  4. Step 4: Simplify right side
    21,190x = 1,075,708,804
  5. Step 5: Solve for x
    x = 1,075,708,804/21,190
  6. Step 6: Final answer
    x = 50,764.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.