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Finding the Third Proportional to 22,958 and 49,264

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Solution

The third proportional to 22,958 and 49,264 is: 105,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958 : 49,264 = 49,264 : x
  2. Step 2: Convert to fraction form
    22,958/49,264 = 49,264/x
  3. Step 3: Cross multiply
    22,958x = 49,264 × 49,264
  4. Step 4: Simplify right side
    22,958x = 2,426,941,696
  5. Step 5: Solve for x
    x = 2,426,941,696/22,958
  6. Step 6: Final answer
    x = 105,712.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.