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Finding the Third Proportional to 15,598.50 and 31,825.50

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Solution

The third proportional to 15,598.50 and 31,825.50 is: 64,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,598.50 : 31,825.50 = 31,825.50 : x
  2. Step 2: Convert to fraction form
    15,598.50/31,825.50 = 31,825.50/x
  3. Step 3: Cross multiply
    15,598.50x = 31,825.50 × 31,825.50
  4. Step 4: Simplify right side
    15,598.50x = 1,012,862,450.25
  5. Step 5: Solve for x
    x = 1,012,862,450.25/15,598.50
  6. Step 6: Final answer
    x = 64,933.32

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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.