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Finding the Third Proportional to 15,075 and 22,306.50

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Solution

The third proportional to 15,075 and 22,306.50 is: 33,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075 : 22,306.50 = 22,306.50 : x
  2. Step 2: Convert to fraction form
    15,075/22,306.50 = 22,306.50/x
  3. Step 3: Cross multiply
    15,075x = 22,306.50 × 22,306.50
  4. Step 4: Simplify right side
    15,075x = 497,579,942.25
  5. Step 5: Solve for x
    x = 497,579,942.25/15,075
  6. Step 6: Final answer
    x = 33,006.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.