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Finding the Third Proportional to 15,886.50 and 31,372.50

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Solution

The third proportional to 15,886.50 and 31,372.50 is: 61,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.50 : 31,372.50 = 31,372.50 : x
  2. Step 2: Convert to fraction form
    15,886.50/31,372.50 = 31,372.50/x
  3. Step 3: Cross multiply
    15,886.50x = 31,372.50 × 31,372.50
  4. Step 4: Simplify right side
    15,886.50x = 984,233,756.25
  5. Step 5: Solve for x
    x = 984,233,756.25/15,886.50
  6. Step 6: Final answer
    x = 61,954.10

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.