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Finding the Third Proportional to 10,025.06 and 15,075.94

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Solution

The third proportional to 10,025.06 and 15,075.94 is: 22,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.06 : 15,075.94 = 15,075.94 : x
  2. Step 2: Convert to fraction form
    10,025.06/15,075.94 = 15,075.94/x
  3. Step 3: Cross multiply
    10,025.06x = 15,075.94 × 15,075.94
  4. Step 4: Simplify right side
    10,025.06x = 227,283,891.50
  5. Step 5: Solve for x
    x = 227,283,891.50/10,025.06
  6. Step 6: Final answer
    x = 22,671.57

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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.