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Finding the Third Proportional to 15,364.50 and 24,496.50

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Solution

The third proportional to 15,364.50 and 24,496.50 is: 39,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364.50 : 24,496.50 = 24,496.50 : x
  2. Step 2: Convert to fraction form
    15,364.50/24,496.50 = 24,496.50/x
  3. Step 3: Cross multiply
    15,364.50x = 24,496.50 × 24,496.50
  4. Step 4: Simplify right side
    15,364.50x = 600,078,512.25
  5. Step 5: Solve for x
    x = 600,078,512.25/15,364.50
  6. Step 6: Final answer
    x = 39,056.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.