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Finding the Third Proportional to 24,465.38 and 37,121.63

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Solution

The third proportional to 24,465.38 and 37,121.63 is: 56,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.38 : 37,121.63 = 37,121.63 : x
  2. Step 2: Convert to fraction form
    24,465.38/37,121.63 = 37,121.63/x
  3. Step 3: Cross multiply
    24,465.38x = 37,121.63 × 37,121.63
  4. Step 4: Simplify right side
    24,465.38x = 1,378,015,042.64
  5. Step 5: Solve for x
    x = 1,378,015,042.64/24,465.38
  6. Step 6: Final answer
    x = 56,325.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.