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Finding the Third Proportional to 24,729 and 36,813

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Solution

The third proportional to 24,729 and 36,813 is: 54,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729 : 36,813 = 36,813 : x
  2. Step 2: Convert to fraction form
    24,729/36,813 = 36,813/x
  3. Step 3: Cross multiply
    24,729x = 36,813 × 36,813
  4. Step 4: Simplify right side
    24,729x = 1,355,196,969
  5. Step 5: Solve for x
    x = 1,355,196,969/24,729
  6. Step 6: Final answer
    x = 54,801.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.