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Finding the Third Proportional to 24,634.13 and 36,913.22

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Solution

The third proportional to 24,634.13 and 36,913.22 is: 55,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.13 : 36,913.22 = 36,913.22 : x
  2. Step 2: Convert to fraction form
    24,634.13/36,913.22 = 36,913.22/x
  3. Step 3: Cross multiply
    24,634.13x = 36,913.22 × 36,913.22
  4. Step 4: Simplify right side
    24,634.13x = 1,362,585,718.49
  5. Step 5: Solve for x
    x = 1,362,585,718.49/24,634.13
  6. Step 6: Final answer
    x = 55,312.93

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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.