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Finding the Third Proportional to 23,116 and 49,304

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Solution

The third proportional to 23,116 and 49,304 is: 105,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116 : 49,304 = 49,304 : x
  2. Step 2: Convert to fraction form
    23,116/49,304 = 49,304/x
  3. Step 3: Cross multiply
    23,116x = 49,304 × 49,304
  4. Step 4: Simplify right side
    23,116x = 2,430,884,416
  5. Step 5: Solve for x
    x = 2,430,884,416/23,116
  6. Step 6: Final answer
    x = 105,160.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.