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Finding the Third Proportional to 12,568.50 and 24,813

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Solution

The third proportional to 12,568.50 and 24,813 is: 48,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.50 : 24,813 = 24,813 : x
  2. Step 2: Convert to fraction form
    12,568.50/24,813 = 24,813/x
  3. Step 3: Cross multiply
    12,568.50x = 24,813 × 24,813
  4. Step 4: Simplify right side
    12,568.50x = 615,684,969
  5. Step 5: Solve for x
    x = 615,684,969/12,568.50
  6. Step 6: Final answer
    x = 48,986.35

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Why These Related Problems?

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