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Finding the Third Proportional to 23,465 and 51,304

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Solution

The third proportional to 23,465 and 51,304 is: 112,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465 : 51,304 = 51,304 : x
  2. Step 2: Convert to fraction form
    23,465/51,304 = 51,304/x
  3. Step 3: Cross multiply
    23,465x = 51,304 × 51,304
  4. Step 4: Simplify right side
    23,465x = 2,632,100,416
  5. Step 5: Solve for x
    x = 2,632,100,416/23,465
  6. Step 6: Final answer
    x = 112,171.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.