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Finding the Third Proportional to 15,171 and 22,075.50

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Solution

The third proportional to 15,171 and 22,075.50 is: 32,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171 : 22,075.50 = 22,075.50 : x
  2. Step 2: Convert to fraction form
    15,171/22,075.50 = 22,075.50/x
  3. Step 3: Cross multiply
    15,171x = 22,075.50 × 22,075.50
  4. Step 4: Simplify right side
    15,171x = 487,327,700.25
  5. Step 5: Solve for x
    x = 487,327,700.25/15,171
  6. Step 6: Final answer
    x = 32,122.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.