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Finding the Third Proportional to 15,385.50 and 24,986.25

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Solution

The third proportional to 15,385.50 and 24,986.25 is: 40,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385.50 : 24,986.25 = 24,986.25 : x
  2. Step 2: Convert to fraction form
    15,385.50/24,986.25 = 24,986.25/x
  3. Step 3: Cross multiply
    15,385.50x = 24,986.25 × 24,986.25
  4. Step 4: Simplify right side
    15,385.50x = 624,312,689.06
  5. Step 5: Solve for x
    x = 624,312,689.06/15,385.50
  6. Step 6: Final answer
    x = 40,577.99

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.