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Finding the Third Proportional to 24,838 and 37,578

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Solution

The third proportional to 24,838 and 37,578 is: 56,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838 : 37,578 = 37,578 : x
  2. Step 2: Convert to fraction form
    24,838/37,578 = 37,578/x
  3. Step 3: Cross multiply
    24,838x = 37,578 × 37,578
  4. Step 4: Simplify right side
    24,838x = 1,412,106,084
  5. Step 5: Solve for x
    x = 1,412,106,084/24,838
  6. Step 6: Final answer
    x = 56,852.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.