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Finding the Third Proportional to 24,356 and 34,838

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Solution

The third proportional to 24,356 and 34,838 is: 49,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356 : 34,838 = 34,838 : x
  2. Step 2: Convert to fraction form
    24,356/34,838 = 34,838/x
  3. Step 3: Cross multiply
    24,356x = 34,838 × 34,838
  4. Step 4: Simplify right side
    24,356x = 1,213,686,244
  5. Step 5: Solve for x
    x = 1,213,686,244/24,356
  6. Step 6: Final answer
    x = 49,831.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.