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Finding the Third Proportional to 24,248.25 and 36,401.63

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Solution

The third proportional to 24,248.25 and 36,401.63 is: 54,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,248.25 : 36,401.63 = 36,401.63 : x
  2. Step 2: Convert to fraction form
    24,248.25/36,401.63 = 36,401.63/x
  3. Step 3: Cross multiply
    24,248.25x = 36,401.63 × 36,401.63
  4. Step 4: Simplify right side
    24,248.25x = 1,325,078,302.64
  5. Step 5: Solve for x
    x = 1,325,078,302.64/24,248.25
  6. Step 6: Final answer
    x = 54,646.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.