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Finding the Third Proportional to 23,070 and 50,541

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Solution

The third proportional to 23,070 and 50,541 is: 110,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070 : 50,541 = 50,541 : x
  2. Step 2: Convert to fraction form
    23,070/50,541 = 50,541/x
  3. Step 3: Cross multiply
    23,070x = 50,541 × 50,541
  4. Step 4: Simplify right side
    23,070x = 2,554,392,681
  5. Step 5: Solve for x
    x = 2,554,392,681/23,070
  6. Step 6: Final answer
    x = 110,723.57

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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.