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Finding the Third Proportional to 15,635.50 and 31,907.75

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Solution

The third proportional to 15,635.50 and 31,907.75 is: 65,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.50 : 31,907.75 = 31,907.75 : x
  2. Step 2: Convert to fraction form
    15,635.50/31,907.75 = 31,907.75/x
  3. Step 3: Cross multiply
    15,635.50x = 31,907.75 × 31,907.75
  4. Step 4: Simplify right side
    15,635.50x = 1,018,104,510.06
  5. Step 5: Solve for x
    x = 1,018,104,510.06/15,635.50
  6. Step 6: Final answer
    x = 65,114.93

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.