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Finding the Third Proportional to 21,895 and 32,797.50

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Solution

The third proportional to 21,895 and 32,797.50 is: 49,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895 : 32,797.50 = 32,797.50 : x
  2. Step 2: Convert to fraction form
    21,895/32,797.50 = 32,797.50/x
  3. Step 3: Cross multiply
    21,895x = 32,797.50 × 32,797.50
  4. Step 4: Simplify right side
    21,895x = 1,075,676,006.25
  5. Step 5: Solve for x
    x = 1,075,676,006.25/21,895
  6. Step 6: Final answer
    x = 49,128.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.